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Finding the Fourth Proportional to 630.91, 865.99 and 559.41

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Solution

The fourth proportional to 630.91, 865.99 and 559.41 is: 767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.91 : 865.99 = 559.41 : x
  2. Step 2: Convert to fraction form
    630.91/865.99 = 559.41/x
  3. Step 3: Cross multiply
    630.91x = 865.99 × 559.41
  4. Step 4: Simplify right side
    630.91x = 484,443.47
  5. Step 5: Solve for x
    x = 484,443.47/630.91
  6. Step 6: Final answer
    x = 767.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.