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Finding the Fourth Proportional to 962.13, 1,436.00 and 885.18

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Solution

The fourth proportional to 962.13, 1,436.00 and 885.18 is: 1,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.13 : 1,436.00 = 885.18 : x
  2. Step 2: Convert to fraction form
    962.13/1,436.00 = 885.18/x
  3. Step 3: Cross multiply
    962.13x = 1,436.00 × 885.18
  4. Step 4: Simplify right side
    962.13x = 1,271,114.05
  5. Step 5: Solve for x
    x = 1,271,114.05/962.13
  6. Step 6: Final answer
    x = 1,321.15

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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.