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Finding the Fourth Proportional to 678.67, 935.63 and 429.87

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Solution

The fourth proportional to 678.67, 935.63 and 429.87 is: 592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.67 : 935.63 = 429.87 : x
  2. Step 2: Convert to fraction form
    678.67/935.63 = 429.87/x
  3. Step 3: Cross multiply
    678.67x = 935.63 × 429.87
  4. Step 4: Simplify right side
    678.67x = 402,199.27
  5. Step 5: Solve for x
    x = 402,199.27/678.67
  6. Step 6: Final answer
    x = 592.63

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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.