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Finding the Fourth Proportional to 503.38, 759.71 and 490.42

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Solution

The fourth proportional to 503.38, 759.71 and 490.42 is: 740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.38 : 759.71 = 490.42 : x
  2. Step 2: Convert to fraction form
    503.38/759.71 = 490.42/x
  3. Step 3: Cross multiply
    503.38x = 759.71 × 490.42
  4. Step 4: Simplify right side
    503.38x = 372,576.98
  5. Step 5: Solve for x
    x = 372,576.98/503.38
  6. Step 6: Final answer
    x = 740.15

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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.