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Finding the Fourth Proportional to 690.59, 952.99 and 391.86

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Solution

The fourth proportional to 690.59, 952.99 and 391.86 is: 540.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.59 : 952.99 = 391.86 : x
  2. Step 2: Convert to fraction form
    690.59/952.99 = 391.86/x
  3. Step 3: Cross multiply
    690.59x = 952.99 × 391.86
  4. Step 4: Simplify right side
    690.59x = 373,436.70
  5. Step 5: Solve for x
    x = 373,436.70/690.59
  6. Step 6: Final answer
    x = 540.75

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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.