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Finding the Fourth Proportional to 690.23, 952.54 and 410.68

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Solution

The fourth proportional to 690.23, 952.54 and 410.68 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.23 : 952.54 = 410.68 : x
  2. Step 2: Convert to fraction form
    690.23/952.54 = 410.68/x
  3. Step 3: Cross multiply
    690.23x = 952.54 × 410.68
  4. Step 4: Simplify right side
    690.23x = 391,189.13
  5. Step 5: Solve for x
    x = 391,189.13/690.23
  6. Step 6: Final answer
    x = 566.75

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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.