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Finding the Fourth Proportional to 963.13, 1,444.93 and 279.13

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Solution

The fourth proportional to 963.13, 1,444.93 and 279.13 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.13 : 1,444.93 = 279.13 : x
  2. Step 2: Convert to fraction form
    963.13/1,444.93 = 279.13/x
  3. Step 3: Cross multiply
    963.13x = 1,444.93 × 279.13
  4. Step 4: Simplify right side
    963.13x = 403,323.31
  5. Step 5: Solve for x
    x = 403,323.31/963.13
  6. Step 6: Final answer
    x = 418.76

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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.