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Finding the Fourth Proportional to 690.12, 950.01 and 523.92

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Solution

The fourth proportional to 690.12, 950.01 and 523.92 is: 721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 950.01 = 523.92 : x
  2. Step 2: Convert to fraction form
    690.12/950.01 = 523.92/x
  3. Step 3: Cross multiply
    690.12x = 950.01 × 523.92
  4. Step 4: Simplify right side
    690.12x = 497,729.24
  5. Step 5: Solve for x
    x = 497,729.24/690.12
  6. Step 6: Final answer
    x = 721.22

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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.