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Finding the Fourth Proportional to 522.80, 785.40 and 502.40

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Solution

The fourth proportional to 522.80, 785.40 and 502.40 is: 754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.80 : 785.40 = 502.40 : x
  2. Step 2: Convert to fraction form
    522.80/785.40 = 502.40/x
  3. Step 3: Cross multiply
    522.80x = 785.40 × 502.40
  4. Step 4: Simplify right side
    522.80x = 394,584.96
  5. Step 5: Solve for x
    x = 394,584.96/522.80
  6. Step 6: Final answer
    x = 754.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.