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Finding the Fourth Proportional to 962.40, 1,432.04 and 959.16

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Solution

The fourth proportional to 962.40, 1,432.04 and 959.16 is: 1,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.40 : 1,432.04 = 959.16 : x
  2. Step 2: Convert to fraction form
    962.40/1,432.04 = 959.16/x
  3. Step 3: Cross multiply
    962.40x = 1,432.04 × 959.16
  4. Step 4: Simplify right side
    962.40x = 1,373,555.49
  5. Step 5: Solve for x
    x = 1,373,555.49/962.40
  6. Step 6: Final answer
    x = 1,427.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.