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Finding the Fourth Proportional to 963.13, 1,444.65 and 385.60

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Solution

The fourth proportional to 963.13, 1,444.65 and 385.60 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.13 : 1,444.65 = 385.60 : x
  2. Step 2: Convert to fraction form
    963.13/1,444.65 = 385.60/x
  3. Step 3: Cross multiply
    963.13x = 1,444.65 × 385.60
  4. Step 4: Simplify right side
    963.13x = 557,057.04
  5. Step 5: Solve for x
    x = 557,057.04/963.13
  6. Step 6: Final answer
    x = 578.38

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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.