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Finding the Fourth Proportional to 772.92, 1,064.40 and 689.16

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Solution

The fourth proportional to 772.92, 1,064.40 and 689.16 is: 949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.92 : 1,064.40 = 689.16 : x
  2. Step 2: Convert to fraction form
    772.92/1,064.40 = 689.16/x
  3. Step 3: Cross multiply
    772.92x = 1,064.40 × 689.16
  4. Step 4: Simplify right side
    772.92x = 733,541.90
  5. Step 5: Solve for x
    x = 733,541.90/772.92
  6. Step 6: Final answer
    x = 949.05

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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.