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Finding the Fourth Proportional to 960.50, 1,440.63 and 565.41

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Solution

The fourth proportional to 960.50, 1,440.63 and 565.41 is: 848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.50 : 1,440.63 = 565.41 : x
  2. Step 2: Convert to fraction form
    960.50/1,440.63 = 565.41/x
  3. Step 3: Cross multiply
    960.50x = 1,440.63 × 565.41
  4. Step 4: Simplify right side
    960.50x = 814,546.61
  5. Step 5: Solve for x
    x = 814,546.61/960.50
  6. Step 6: Final answer
    x = 848.05

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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.