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Finding the Fourth Proportional to 685.91, 946.71 and 437.18

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Solution

The fourth proportional to 685.91, 946.71 and 437.18 is: 603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.91 : 946.71 = 437.18 : x
  2. Step 2: Convert to fraction form
    685.91/946.71 = 437.18/x
  3. Step 3: Cross multiply
    685.91x = 946.71 × 437.18
  4. Step 4: Simplify right side
    685.91x = 413,882.68
  5. Step 5: Solve for x
    x = 413,882.68/685.91
  6. Step 6: Final answer
    x = 603.41

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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.