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Finding the Fourth Proportional to 770.38, 1,159.69 and 691

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Solution

The fourth proportional to 770.38, 1,159.69 and 691 is: 1,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.38 : 1,159.69 = 691 : x
  2. Step 2: Convert to fraction form
    770.38/1,159.69 = 691/x
  3. Step 3: Cross multiply
    770.38x = 1,159.69 × 691
  4. Step 4: Simplify right side
    770.38x = 801,345.79
  5. Step 5: Solve for x
    x = 801,345.79/770.38
  6. Step 6: Final answer
    x = 1,040.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.