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Finding the Fourth Proportional to 962.25, 1,436.34 and 826.17

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Solution

The fourth proportional to 962.25, 1,436.34 and 826.17 is: 1,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 1,436.34 = 826.17 : x
  2. Step 2: Convert to fraction form
    962.25/1,436.34 = 826.17/x
  3. Step 3: Cross multiply
    962.25x = 1,436.34 × 826.17
  4. Step 4: Simplify right side
    962.25x = 1,186,661.02
  5. Step 5: Solve for x
    x = 1,186,661.02/962.25
  6. Step 6: Final answer
    x = 1,233.21

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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.