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Finding the Fourth Proportional to 502.56, 748.62 and 484.74

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Solution

The fourth proportional to 502.56, 748.62 and 484.74 is: 722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.56 : 748.62 = 484.74 : x
  2. Step 2: Convert to fraction form
    502.56/748.62 = 484.74/x
  3. Step 3: Cross multiply
    502.56x = 748.62 × 484.74
  4. Step 4: Simplify right side
    502.56x = 362,886.06
  5. Step 5: Solve for x
    x = 362,886.06/502.56
  6. Step 6: Final answer
    x = 722.08

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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.