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Finding the Fourth Proportional to 781.66, 1,071.05 and 774.46

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Solution

The fourth proportional to 781.66, 1,071.05 and 774.46 is: 1,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.66 : 1,071.05 = 774.46 : x
  2. Step 2: Convert to fraction form
    781.66/1,071.05 = 774.46/x
  3. Step 3: Cross multiply
    781.66x = 1,071.05 × 774.46
  4. Step 4: Simplify right side
    781.66x = 829,485.38
  5. Step 5: Solve for x
    x = 829,485.38/781.66
  6. Step 6: Final answer
    x = 1,061.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.