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Finding the Fourth Proportional to 1,019.93, 1,520.96 and 963.66

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Solution

The fourth proportional to 1,019.93, 1,520.96 and 963.66 is: 1,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.93 : 1,520.96 = 963.66 : x
  2. Step 2: Convert to fraction form
    1,019.93/1,520.96 = 963.66/x
  3. Step 3: Cross multiply
    1,019.93x = 1,520.96 × 963.66
  4. Step 4: Simplify right side
    1,019.93x = 1,465,683.50
  5. Step 5: Solve for x
    x = 1,465,683.50/1,019.93
  6. Step 6: Final answer
    x = 1,437.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.