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Finding the Fourth Proportional to 765.43, 1,054.78 and 543.76

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Solution

The fourth proportional to 765.43, 1,054.78 and 543.76 is: 749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.43 : 1,054.78 = 543.76 : x
  2. Step 2: Convert to fraction form
    765.43/1,054.78 = 543.76/x
  3. Step 3: Cross multiply
    765.43x = 1,054.78 × 543.76
  4. Step 4: Simplify right side
    765.43x = 573,549.17
  5. Step 5: Solve for x
    x = 573,549.17/765.43
  6. Step 6: Final answer
    x = 749.32

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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.