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Finding the Fourth Proportional to 503.20, 691.49 and 503.20

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Solution

The fourth proportional to 503.20, 691.49 and 503.20 is: 691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 691.49 = 503.20 : x
  2. Step 2: Convert to fraction form
    503.20/691.49 = 503.20/x
  3. Step 3: Cross multiply
    503.20x = 691.49 × 503.20
  4. Step 4: Simplify right side
    503.20x = 347,957.77
  5. Step 5: Solve for x
    x = 347,957.77/503.20
  6. Step 6: Final answer
    x = 691.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.