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Finding the Fourth Proportional to 743.18, 1,024.66 and 543.86

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Solution

The fourth proportional to 743.18, 1,024.66 and 543.86 is: 749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.18 : 1,024.66 = 543.86 : x
  2. Step 2: Convert to fraction form
    743.18/1,024.66 = 543.86/x
  3. Step 3: Cross multiply
    743.18x = 1,024.66 × 543.86
  4. Step 4: Simplify right side
    743.18x = 557,266.46
  5. Step 5: Solve for x
    x = 557,266.46/743.18
  6. Step 6: Final answer
    x = 749.84

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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.