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Finding the Fourth Proportional to 765.77, 1,141.05 and 728.58

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Solution

The fourth proportional to 765.77, 1,141.05 and 728.58 is: 1,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.77 : 1,141.05 = 728.58 : x
  2. Step 2: Convert to fraction form
    765.77/1,141.05 = 728.58/x
  3. Step 3: Cross multiply
    765.77x = 1,141.05 × 728.58
  4. Step 4: Simplify right side
    765.77x = 831,346.21
  5. Step 5: Solve for x
    x = 831,346.21/765.77
  6. Step 6: Final answer
    x = 1,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.