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Finding the Fourth Proportional to 742.52, 1,024.20 and 480.68

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Solution

The fourth proportional to 742.52, 1,024.20 and 480.68 is: 663.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.52 : 1,024.20 = 480.68 : x
  2. Step 2: Convert to fraction form
    742.52/1,024.20 = 480.68/x
  3. Step 3: Cross multiply
    742.52x = 1,024.20 × 480.68
  4. Step 4: Simplify right side
    742.52x = 492,312.46
  5. Step 5: Solve for x
    x = 492,312.46/742.52
  6. Step 6: Final answer
    x = 663.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.