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Finding the Fourth Proportional to 962.06, 1,440.72 and 614.36

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Solution

The fourth proportional to 962.06, 1,440.72 and 614.36 is: 920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.06 : 1,440.72 = 614.36 : x
  2. Step 2: Convert to fraction form
    962.06/1,440.72 = 614.36/x
  3. Step 3: Cross multiply
    962.06x = 1,440.72 × 614.36
  4. Step 4: Simplify right side
    962.06x = 885,124.34
  5. Step 5: Solve for x
    x = 885,124.34/962.06
  6. Step 6: Final answer
    x = 920.04

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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.