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Finding the Fourth Proportional to 960.70, 1,440.72 and 652.72

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Solution

The fourth proportional to 960.70, 1,440.72 and 652.72 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.70 : 1,440.72 = 652.72 : x
  2. Step 2: Convert to fraction form
    960.70/1,440.72 = 652.72/x
  3. Step 3: Cross multiply
    960.70x = 1,440.72 × 652.72
  4. Step 4: Simplify right side
    960.70x = 940,386.76
  5. Step 5: Solve for x
    x = 940,386.76/960.70
  6. Step 6: Final answer
    x = 978.86

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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.