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Finding the Fourth Proportional to 561.87, 844.02 and 460.62

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Solution

The fourth proportional to 561.87, 844.02 and 460.62 is: 691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 844.02 = 460.62 : x
  2. Step 2: Convert to fraction form
    561.87/844.02 = 460.62/x
  3. Step 3: Cross multiply
    561.87x = 844.02 × 460.62
  4. Step 4: Simplify right side
    561.87x = 388,772.49
  5. Step 5: Solve for x
    x = 388,772.49/561.87
  6. Step 6: Final answer
    x = 691.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.