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Finding the Fourth Proportional to 742.55, 1,024.54 and 480.25

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Solution

The fourth proportional to 742.55, 1,024.54 and 480.25 is: 662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.55 : 1,024.54 = 480.25 : x
  2. Step 2: Convert to fraction form
    742.55/1,024.54 = 480.25/x
  3. Step 3: Cross multiply
    742.55x = 1,024.54 × 480.25
  4. Step 4: Simplify right side
    742.55x = 492,032.93
  5. Step 5: Solve for x
    x = 492,032.93/742.55
  6. Step 6: Final answer
    x = 662.63

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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.