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Finding the Fourth Proportional to 629.86, 938.40 and 598.88

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Solution

The fourth proportional to 629.86, 938.40 and 598.88 is: 892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 938.40 = 598.88 : x
  2. Step 2: Convert to fraction form
    629.86/938.40 = 598.88/x
  3. Step 3: Cross multiply
    629.86x = 938.40 × 598.88
  4. Step 4: Simplify right side
    629.86x = 561,988.99
  5. Step 5: Solve for x
    x = 561,988.99/629.86
  6. Step 6: Final answer
    x = 892.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.