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Finding the Fourth Proportional to 503.87, 752.05 and 491.57

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Solution

The fourth proportional to 503.87, 752.05 and 491.57 is: 733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 752.05 = 491.57 : x
  2. Step 2: Convert to fraction form
    503.87/752.05 = 491.57/x
  3. Step 3: Cross multiply
    503.87x = 752.05 × 491.57
  4. Step 4: Simplify right side
    503.87x = 369,685.22
  5. Step 5: Solve for x
    x = 369,685.22/503.87
  6. Step 6: Final answer
    x = 733.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.