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Finding the Fourth Proportional to 770.13, 1,159.31 and 690.75

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Solution

The fourth proportional to 770.13, 1,159.31 and 690.75 is: 1,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.13 : 1,159.31 = 690.75 : x
  2. Step 2: Convert to fraction form
    770.13/1,159.31 = 690.75/x
  3. Step 3: Cross multiply
    770.13x = 1,159.31 × 690.75
  4. Step 4: Simplify right side
    770.13x = 800,795.11
  5. Step 5: Solve for x
    x = 800,795.11/770.13
  6. Step 6: Final answer
    x = 1,039.82

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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.