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Finding the Fourth Proportional to 730.64, 1,008.20 and 543.52

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Solution

The fourth proportional to 730.64, 1,008.20 and 543.52 is: 750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.64 : 1,008.20 = 543.52 : x
  2. Step 2: Convert to fraction form
    730.64/1,008.20 = 543.52/x
  3. Step 3: Cross multiply
    730.64x = 1,008.20 × 543.52
  4. Step 4: Simplify right side
    730.64x = 547,976.86
  5. Step 5: Solve for x
    x = 547,976.86/730.64
  6. Step 6: Final answer
    x = 750.00

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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.