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Finding the Fourth Proportional to 684.76, 944.70 and 436.24

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Solution

The fourth proportional to 684.76, 944.70 and 436.24 is: 601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.76 : 944.70 = 436.24 : x
  2. Step 2: Convert to fraction form
    684.76/944.70 = 436.24/x
  3. Step 3: Cross multiply
    684.76x = 944.70 × 436.24
  4. Step 4: Simplify right side
    684.76x = 412,115.93
  5. Step 5: Solve for x
    x = 412,115.93/684.76
  6. Step 6: Final answer
    x = 601.84

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Find fourth proportional to 342.38, 472.35 and 218.12
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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.