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Finding the Fourth Proportional to 765.38, 1,056.86 and 486.11

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Solution

The fourth proportional to 765.38, 1,056.86 and 486.11 is: 671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.38 : 1,056.86 = 486.11 : x
  2. Step 2: Convert to fraction form
    765.38/1,056.86 = 486.11/x
  3. Step 3: Cross multiply
    765.38x = 1,056.86 × 486.11
  4. Step 4: Simplify right side
    765.38x = 513,750.21
  5. Step 5: Solve for x
    x = 513,750.21/765.38
  6. Step 6: Final answer
    x = 671.24

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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.