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Finding the Fourth Proportional to 690.69, 952.73 and 410.74

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Solution

The fourth proportional to 690.69, 952.73 and 410.74 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.69 : 952.73 = 410.74 : x
  2. Step 2: Convert to fraction form
    690.69/952.73 = 410.74/x
  3. Step 3: Cross multiply
    690.69x = 952.73 × 410.74
  4. Step 4: Simplify right side
    690.69x = 391,322.97
  5. Step 5: Solve for x
    x = 391,322.97/690.69
  6. Step 6: Final answer
    x = 566.57

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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.