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Finding the Fourth Proportional to 765.53, 1,054.91 and 543.86

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Solution

The fourth proportional to 765.53, 1,054.91 and 543.86 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.53 : 1,054.91 = 543.86 : x
  2. Step 2: Convert to fraction form
    765.53/1,054.91 = 543.86/x
  3. Step 3: Cross multiply
    765.53x = 1,054.91 × 543.86
  4. Step 4: Simplify right side
    765.53x = 573,719.44
  5. Step 5: Solve for x
    x = 573,719.44/765.53
  6. Step 6: Final answer
    x = 749.45

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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.