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Finding the Fourth Proportional to 862.77, 1,291.41 and 618.09

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Solution

The fourth proportional to 862.77, 1,291.41 and 618.09 is: 925.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.77 : 1,291.41 = 618.09 : x
  2. Step 2: Convert to fraction form
    862.77/1,291.41 = 618.09/x
  3. Step 3: Cross multiply
    862.77x = 1,291.41 × 618.09
  4. Step 4: Simplify right side
    862.77x = 798,207.61
  5. Step 5: Solve for x
    x = 798,207.61/862.77
  6. Step 6: Final answer
    x = 925.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.