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Finding the Fourth Proportional to 666.87, 920.17 and 613.11

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Solution

The fourth proportional to 666.87, 920.17 and 613.11 is: 845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.87 : 920.17 = 613.11 : x
  2. Step 2: Convert to fraction form
    666.87/920.17 = 613.11/x
  3. Step 3: Cross multiply
    666.87x = 920.17 × 613.11
  4. Step 4: Simplify right side
    666.87x = 564,162.74
  5. Step 5: Solve for x
    x = 564,162.74/666.87
  6. Step 6: Final answer
    x = 845.99

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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.