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Finding the Fourth Proportional to 963.59, 1,329.47 and 590.19

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Solution

The fourth proportional to 963.59, 1,329.47 and 590.19 is: 814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.59 : 1,329.47 = 590.19 : x
  2. Step 2: Convert to fraction form
    963.59/1,329.47 = 590.19/x
  3. Step 3: Cross multiply
    963.59x = 1,329.47 × 590.19
  4. Step 4: Simplify right side
    963.59x = 784,636.95
  5. Step 5: Solve for x
    x = 784,636.95/963.59
  6. Step 6: Final answer
    x = 814.29

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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.