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Finding the Fourth Proportional to 690.13, 951.87 and 659.08

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Solution

The fourth proportional to 690.13, 951.87 and 659.08 is: 909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.13 : 951.87 = 659.08 : x
  2. Step 2: Convert to fraction form
    690.13/951.87 = 659.08/x
  3. Step 3: Cross multiply
    690.13x = 951.87 × 659.08
  4. Step 4: Simplify right side
    690.13x = 627,358.48
  5. Step 5: Solve for x
    x = 627,358.48/690.13
  6. Step 6: Final answer
    x = 909.04

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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.