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Finding the Fourth Proportional to 743.20, 1,024.08 and 522.40

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Solution

The fourth proportional to 743.20, 1,024.08 and 522.40 is: 719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.20 : 1,024.08 = 522.40 : x
  2. Step 2: Convert to fraction form
    743.20/1,024.08 = 522.40/x
  3. Step 3: Cross multiply
    743.20x = 1,024.08 × 522.40
  4. Step 4: Simplify right side
    743.20x = 534,979.39
  5. Step 5: Solve for x
    x = 534,979.39/743.20
  6. Step 6: Final answer
    x = 719.83

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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.