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Finding the Fourth Proportional to 690.16, 952.62 and 611.74

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Solution

The fourth proportional to 690.16, 952.62 and 611.74 is: 844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.16 : 952.62 = 611.74 : x
  2. Step 2: Convert to fraction form
    690.16/952.62 = 611.74/x
  3. Step 3: Cross multiply
    690.16x = 952.62 × 611.74
  4. Step 4: Simplify right side
    690.16x = 582,755.76
  5. Step 5: Solve for x
    x = 582,755.76/690.16
  6. Step 6: Final answer
    x = 844.38

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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.