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Finding the Fourth Proportional to 678.30, 935.42 and 429.18

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Solution

The fourth proportional to 678.30, 935.42 and 429.18 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.30 : 935.42 = 429.18 : x
  2. Step 2: Convert to fraction form
    678.30/935.42 = 429.18/x
  3. Step 3: Cross multiply
    678.30x = 935.42 × 429.18
  4. Step 4: Simplify right side
    678.30x = 401,463.56
  5. Step 5: Solve for x
    x = 401,463.56/678.30
  6. Step 6: Final answer
    x = 591.87

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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.