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Finding the Fourth Proportional to 686.97, 1,030.23 and 585.36

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Solution

The fourth proportional to 686.97, 1,030.23 and 585.36 is: 877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 1,030.23 = 585.36 : x
  2. Step 2: Convert to fraction form
    686.97/1,030.23 = 585.36/x
  3. Step 3: Cross multiply
    686.97x = 1,030.23 × 585.36
  4. Step 4: Simplify right side
    686.97x = 603,055.43
  5. Step 5: Solve for x
    x = 603,055.43/686.97
  6. Step 6: Final answer
    x = 877.85

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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.