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Finding the Fourth Proportional to 504.24, 752.43 and 449.76

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Solution

The fourth proportional to 504.24, 752.43 and 449.76 is: 671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 752.43 = 449.76 : x
  2. Step 2: Convert to fraction form
    504.24/752.43 = 449.76/x
  3. Step 3: Cross multiply
    504.24x = 752.43 × 449.76
  4. Step 4: Simplify right side
    504.24x = 338,412.92
  5. Step 5: Solve for x
    x = 338,412.92/504.24
  6. Step 6: Final answer
    x = 671.13

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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.