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Finding the Fourth Proportional to 765.96, 1,057.14 and 579.15

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Solution

The fourth proportional to 765.96, 1,057.14 and 579.15 is: 799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,057.14 = 579.15 : x
  2. Step 2: Convert to fraction form
    765.96/1,057.14 = 579.15/x
  3. Step 3: Cross multiply
    765.96x = 1,057.14 × 579.15
  4. Step 4: Simplify right side
    765.96x = 612,242.63
  5. Step 5: Solve for x
    x = 612,242.63/765.96
  6. Step 6: Final answer
    x = 799.31

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Double scale
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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.