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Finding the Fourth Proportional to 1,104.32, 1,524.40 and 684.76

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Solution

The fourth proportional to 1,104.32, 1,524.40 and 684.76 is: 945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.32 : 1,524.40 = 684.76 : x
  2. Step 2: Convert to fraction form
    1,104.32/1,524.40 = 684.76/x
  3. Step 3: Cross multiply
    1,104.32x = 1,524.40 × 684.76
  4. Step 4: Simplify right side
    1,104.32x = 1,043,848.14
  5. Step 5: Solve for x
    x = 1,043,848.14/1,104.32
  6. Step 6: Final answer
    x = 945.24

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,105.32, 1,525.78 and 685.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.