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Finding the Fourth Proportional to 1,520.57, 2,275.65 and 965.00

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Solution

The fourth proportional to 1,520.57, 2,275.65 and 965.00 is: 1,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.57 : 2,275.65 = 965.00 : x
  2. Step 2: Convert to fraction form
    1,520.57/2,275.65 = 965.00/x
  3. Step 3: Cross multiply
    1,520.57x = 2,275.65 × 965.00
  4. Step 4: Simplify right side
    1,520.57x = 2,195,990.87
  5. Step 5: Solve for x
    x = 2,195,990.87/1,520.57
  6. Step 6: Final answer
    x = 1,444.19

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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.