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Finding the Fourth Proportional to 963.62, 1,329.57 and 590.47

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Solution

The fourth proportional to 963.62, 1,329.57 and 590.47 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.62 : 1,329.57 = 590.47 : x
  2. Step 2: Convert to fraction form
    963.62/1,329.57 = 590.47/x
  3. Step 3: Cross multiply
    963.62x = 1,329.57 × 590.47
  4. Step 4: Simplify right side
    963.62x = 785,071.20
  5. Step 5: Solve for x
    x = 785,071.20/963.62
  6. Step 6: Final answer
    x = 814.71

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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.