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Finding the Fourth Proportional to 543.60, 749.92 and 410.40

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Solution

The fourth proportional to 543.60, 749.92 and 410.40 is: 566.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 749.92 = 410.40 : x
  2. Step 2: Convert to fraction form
    543.60/749.92 = 410.40/x
  3. Step 3: Cross multiply
    543.60x = 749.92 × 410.40
  4. Step 4: Simplify right side
    543.60x = 307,767.17
  5. Step 5: Solve for x
    x = 307,767.17/543.60
  6. Step 6: Final answer
    x = 566.16

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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.