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Finding the Fourth Proportional to 503.91, 759.57 and 462.30

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Solution

The fourth proportional to 503.91, 759.57 and 462.30 is: 696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.91 : 759.57 = 462.30 : x
  2. Step 2: Convert to fraction form
    503.91/759.57 = 462.30/x
  3. Step 3: Cross multiply
    503.91x = 759.57 × 462.30
  4. Step 4: Simplify right side
    503.91x = 351,149.21
  5. Step 5: Solve for x
    x = 351,149.21/503.91
  6. Step 6: Final answer
    x = 696.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.