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Finding the Fourth Proportional to 963.19, 1,443.76 and 500.50

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Solution

The fourth proportional to 963.19, 1,443.76 and 500.50 is: 750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,443.76 = 500.50 : x
  2. Step 2: Convert to fraction form
    963.19/1,443.76 = 500.50/x
  3. Step 3: Cross multiply
    963.19x = 1,443.76 × 500.50
  4. Step 4: Simplify right side
    963.19x = 722,608.61
  5. Step 5: Solve for x
    x = 722,608.61/963.19
  6. Step 6: Final answer
    x = 750.22

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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.