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Finding the Fourth Proportional to 690.06, 951.86 and 410.24

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Solution

The fourth proportional to 690.06, 951.86 and 410.24 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.06 : 951.86 = 410.24 : x
  2. Step 2: Convert to fraction form
    690.06/951.86 = 410.24/x
  3. Step 3: Cross multiply
    690.06x = 951.86 × 410.24
  4. Step 4: Simplify right side
    690.06x = 390,484.24
  5. Step 5: Solve for x
    x = 390,484.24/690.06
  6. Step 6: Final answer
    x = 565.87

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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.