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Finding the Fourth Proportional to 963.55, 1,329.17 and 585.19

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Solution

The fourth proportional to 963.55, 1,329.17 and 585.19 is: 807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.55 : 1,329.17 = 585.19 : x
  2. Step 2: Convert to fraction form
    963.55/1,329.17 = 585.19/x
  3. Step 3: Cross multiply
    963.55x = 1,329.17 × 585.19
  4. Step 4: Simplify right side
    963.55x = 777,816.99
  5. Step 5: Solve for x
    x = 777,816.99/963.55
  6. Step 6: Final answer
    x = 807.24

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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.