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Finding the Fourth Proportional to 743.16, 1,024.48 and 521.42

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Solution

The fourth proportional to 743.16, 1,024.48 and 521.42 is: 718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.16 : 1,024.48 = 521.42 : x
  2. Step 2: Convert to fraction form
    743.16/1,024.48 = 521.42/x
  3. Step 3: Cross multiply
    743.16x = 1,024.48 × 521.42
  4. Step 4: Simplify right side
    743.16x = 534,179.24
  5. Step 5: Solve for x
    x = 534,179.24/743.16
  6. Step 6: Final answer
    x = 718.80

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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.