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Finding the Fourth Proportional to 537.47, 809.52 and 499.45

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Solution

The fourth proportional to 537.47, 809.52 and 499.45 is: 752.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 809.52 = 499.45 : x
  2. Step 2: Convert to fraction form
    537.47/809.52 = 499.45/x
  3. Step 3: Cross multiply
    537.47x = 809.52 × 499.45
  4. Step 4: Simplify right side
    537.47x = 404,312.74
  5. Step 5: Solve for x
    x = 404,312.74/537.47
  6. Step 6: Final answer
    x = 752.25

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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.