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Finding the Fourth Proportional to 502.96, 695.04 and 428.24

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Solution

The fourth proportional to 502.96, 695.04 and 428.24 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 695.04 = 428.24 : x
  2. Step 2: Convert to fraction form
    502.96/695.04 = 428.24/x
  3. Step 3: Cross multiply
    502.96x = 695.04 × 428.24
  4. Step 4: Simplify right side
    502.96x = 297,643.93
  5. Step 5: Solve for x
    x = 297,643.93/502.96
  6. Step 6: Final answer
    x = 591.78

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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.