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Finding the Fourth Proportional to 743.12, 1,024.90 and 521.80

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Solution

The fourth proportional to 743.12, 1,024.90 and 521.80 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.12 : 1,024.90 = 521.80 : x
  2. Step 2: Convert to fraction form
    743.12/1,024.90 = 521.80/x
  3. Step 3: Cross multiply
    743.12x = 1,024.90 × 521.80
  4. Step 4: Simplify right side
    743.12x = 534,792.82
  5. Step 5: Solve for x
    x = 534,792.82/743.12
  6. Step 6: Final answer
    x = 719.66

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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.