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Finding the Fourth Proportional to 1,015.88, 1,524.15 and 431.19

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Solution

The fourth proportional to 1,015.88, 1,524.15 and 431.19 is: 646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.88 : 1,524.15 = 431.19 : x
  2. Step 2: Convert to fraction form
    1,015.88/1,524.15 = 431.19/x
  3. Step 3: Cross multiply
    1,015.88x = 1,524.15 × 431.19
  4. Step 4: Simplify right side
    1,015.88x = 657,198.24
  5. Step 5: Solve for x
    x = 657,198.24/1,015.88
  6. Step 6: Final answer
    x = 646.93

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.