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Finding the Fourth Proportional to 777.32, 1,170.71 and 687.04

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Solution

The fourth proportional to 777.32, 1,170.71 and 687.04 is: 1,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.32 : 1,170.71 = 687.04 : x
  2. Step 2: Convert to fraction form
    777.32/1,170.71 = 687.04/x
  3. Step 3: Cross multiply
    777.32x = 1,170.71 × 687.04
  4. Step 4: Simplify right side
    777.32x = 804,324.60
  5. Step 5: Solve for x
    x = 804,324.60/777.32
  6. Step 6: Final answer
    x = 1,034.74

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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.