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Finding the Fourth Proportional to 690.25, 952.75 and 410.68

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Solution

The fourth proportional to 690.25, 952.75 and 410.68 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.25 : 952.75 = 410.68 : x
  2. Step 2: Convert to fraction form
    690.25/952.75 = 410.68/x
  3. Step 3: Cross multiply
    690.25x = 952.75 × 410.68
  4. Step 4: Simplify right side
    690.25x = 391,274.76
  5. Step 5: Solve for x
    x = 391,274.76/690.25
  6. Step 6: Final answer
    x = 566.86

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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.