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Finding the Fourth Proportional to 960.56, 1,437.58 and 614.14

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Solution

The fourth proportional to 960.56, 1,437.58 and 614.14 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.56 : 1,437.58 = 614.14 : x
  2. Step 2: Convert to fraction form
    960.56/1,437.58 = 614.14/x
  3. Step 3: Cross multiply
    960.56x = 1,437.58 × 614.14
  4. Step 4: Simplify right side
    960.56x = 882,872.55
  5. Step 5: Solve for x
    x = 882,872.55/960.56
  6. Step 6: Final answer
    x = 919.12

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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.