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Finding the Fourth Proportional to 689.87, 951.86 and 410.19

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Solution

The fourth proportional to 689.87, 951.86 and 410.19 is: 565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.87 : 951.86 = 410.19 : x
  2. Step 2: Convert to fraction form
    689.87/951.86 = 410.19/x
  3. Step 3: Cross multiply
    689.87x = 951.86 × 410.19
  4. Step 4: Simplify right side
    689.87x = 390,441.40
  5. Step 5: Solve for x
    x = 390,441.40/689.87
  6. Step 6: Final answer
    x = 565.97

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1.5x scale

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.