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Finding the Fourth Proportional to 502.95, 751.13 and 429.04

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Solution

The fourth proportional to 502.95, 751.13 and 429.04 is: 640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.95 : 751.13 = 429.04 : x
  2. Step 2: Convert to fraction form
    502.95/751.13 = 429.04/x
  3. Step 3: Cross multiply
    502.95x = 751.13 × 429.04
  4. Step 4: Simplify right side
    502.95x = 322,265.22
  5. Step 5: Solve for x
    x = 322,265.22/502.95
  6. Step 6: Final answer
    x = 640.75

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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.