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Finding the Fourth Proportional to 743.28, 1,024.80 and 477.26

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Solution

The fourth proportional to 743.28, 1,024.80 and 477.26 is: 658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.28 : 1,024.80 = 477.26 : x
  2. Step 2: Convert to fraction form
    743.28/1,024.80 = 477.26/x
  3. Step 3: Cross multiply
    743.28x = 1,024.80 × 477.26
  4. Step 4: Simplify right side
    743.28x = 489,088.54
  5. Step 5: Solve for x
    x = 489,088.54/743.28
  6. Step 6: Final answer
    x = 658.01

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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.