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Finding the Fourth Proportional to 765.92, 1,057.23 and 486.33

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Solution

The fourth proportional to 765.92, 1,057.23 and 486.33 is: 671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,057.23 = 486.33 : x
  2. Step 2: Convert to fraction form
    765.92/1,057.23 = 486.33/x
  3. Step 3: Cross multiply
    765.92x = 1,057.23 × 486.33
  4. Step 4: Simplify right side
    765.92x = 514,162.67
  5. Step 5: Solve for x
    x = 514,162.67/765.92
  6. Step 6: Final answer
    x = 671.31

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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.