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Finding the Fourth Proportional to 742.71, 1,024.85 and 480.72

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Solution

The fourth proportional to 742.71, 1,024.85 and 480.72 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.71 : 1,024.85 = 480.72 : x
  2. Step 2: Convert to fraction form
    742.71/1,024.85 = 480.72/x
  3. Step 3: Cross multiply
    742.71x = 1,024.85 × 480.72
  4. Step 4: Simplify right side
    742.71x = 492,670.94
  5. Step 5: Solve for x
    x = 492,670.94/742.71
  6. Step 6: Final answer
    x = 663.34

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Double scale
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1.5x scale

Why These Related Problems?

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