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Finding the Fourth Proportional to 637.42, 956.14 and 421.16

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Solution

The fourth proportional to 637.42, 956.14 and 421.16 is: 631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 956.14 = 421.16 : x
  2. Step 2: Convert to fraction form
    637.42/956.14 = 421.16/x
  3. Step 3: Cross multiply
    637.42x = 956.14 × 421.16
  4. Step 4: Simplify right side
    637.42x = 402,687.92
  5. Step 5: Solve for x
    x = 402,687.92/637.42
  6. Step 6: Final answer
    x = 631.75

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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.