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Finding the Fourth Proportional to 742.96, 1,024.68 and 522.64

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Solution

The fourth proportional to 742.96, 1,024.68 and 522.64 is: 720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.96 : 1,024.68 = 522.64 : x
  2. Step 2: Convert to fraction form
    742.96/1,024.68 = 522.64/x
  3. Step 3: Cross multiply
    742.96x = 1,024.68 × 522.64
  4. Step 4: Simplify right side
    742.96x = 535,538.76
  5. Step 5: Solve for x
    x = 535,538.76/742.96
  6. Step 6: Final answer
    x = 720.82

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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.