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Finding the Fourth Proportional to 862.68, 1,184.04 and 767.28

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Solution

The fourth proportional to 862.68, 1,184.04 and 767.28 is: 1,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.68 : 1,184.04 = 767.28 : x
  2. Step 2: Convert to fraction form
    862.68/1,184.04 = 767.28/x
  3. Step 3: Cross multiply
    862.68x = 1,184.04 × 767.28
  4. Step 4: Simplify right side
    862.68x = 908,490.21
  5. Step 5: Solve for x
    x = 908,490.21/862.68
  6. Step 6: Final answer
    x = 1,053.10

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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.