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Finding the Fourth Proportional to 678.29, 935.12 and 429.49

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Solution

The fourth proportional to 678.29, 935.12 and 429.49 is: 592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.29 : 935.12 = 429.49 : x
  2. Step 2: Convert to fraction form
    678.29/935.12 = 429.49/x
  3. Step 3: Cross multiply
    678.29x = 935.12 × 429.49
  4. Step 4: Simplify right side
    678.29x = 401,617.87
  5. Step 5: Solve for x
    x = 401,617.87/678.29
  6. Step 6: Final answer
    x = 592.10

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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.