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Finding the Fourth Proportional to 960.17, 1,437.48 and 727.70

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Solution

The fourth proportional to 960.17, 1,437.48 and 727.70 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.17 : 1,437.48 = 727.70 : x
  2. Step 2: Convert to fraction form
    960.17/1,437.48 = 727.70/x
  3. Step 3: Cross multiply
    960.17x = 1,437.48 × 727.70
  4. Step 4: Simplify right side
    960.17x = 1,046,047.01
  5. Step 5: Solve for x
    x = 1,046,047.01/960.17
  6. Step 6: Final answer
    x = 1,089.45

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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.