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Finding the Fourth Proportional to 776.97, 1,071.63 and 514.53

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Solution

The fourth proportional to 776.97, 1,071.63 and 514.53 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.97 : 1,071.63 = 514.53 : x
  2. Step 2: Convert to fraction form
    776.97/1,071.63 = 514.53/x
  3. Step 3: Cross multiply
    776.97x = 1,071.63 × 514.53
  4. Step 4: Simplify right side
    776.97x = 551,385.78
  5. Step 5: Solve for x
    x = 551,385.78/776.97
  6. Step 6: Final answer
    x = 709.66

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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.