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Finding the Fourth Proportional to 765.69, 1,056.57 and 682.47

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Solution

The fourth proportional to 765.69, 1,056.57 and 682.47 is: 941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.69 : 1,056.57 = 682.47 : x
  2. Step 2: Convert to fraction form
    765.69/1,056.57 = 682.47/x
  3. Step 3: Cross multiply
    765.69x = 1,056.57 × 682.47
  4. Step 4: Simplify right side
    765.69x = 721,077.33
  5. Step 5: Solve for x
    x = 721,077.33/765.69
  6. Step 6: Final answer
    x = 941.74

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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.