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Finding the Fourth Proportional to 503.90, 756.24 and 458.54

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Solution

The fourth proportional to 503.90, 756.24 and 458.54 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.90 : 756.24 = 458.54 : x
  2. Step 2: Convert to fraction form
    503.90/756.24 = 458.54/x
  3. Step 3: Cross multiply
    503.90x = 756.24 × 458.54
  4. Step 4: Simplify right side
    503.90x = 346,766.29
  5. Step 5: Solve for x
    x = 346,766.29/503.90
  6. Step 6: Final answer
    x = 688.16

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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.