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Finding the Fourth Proportional to 690.03, 951.91 and 410.10

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Solution

The fourth proportional to 690.03, 951.91 and 410.10 is: 565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.03 : 951.91 = 410.10 : x
  2. Step 2: Convert to fraction form
    690.03/951.91 = 410.10/x
  3. Step 3: Cross multiply
    690.03x = 951.91 × 410.10
  4. Step 4: Simplify right side
    690.03x = 390,378.29
  5. Step 5: Solve for x
    x = 390,378.29/690.03
  6. Step 6: Final answer
    x = 565.74

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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.