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Finding the Fourth Proportional to 580.48, 868.64 and 503.72

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Solution

The fourth proportional to 580.48, 868.64 and 503.72 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 868.64 = 503.72 : x
  2. Step 2: Convert to fraction form
    580.48/868.64 = 503.72/x
  3. Step 3: Cross multiply
    580.48x = 868.64 × 503.72
  4. Step 4: Simplify right side
    580.48x = 437,551.34
  5. Step 5: Solve for x
    x = 437,551.34/580.48
  6. Step 6: Final answer
    x = 753.78

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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.