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Finding the Fourth Proportional to 962.49, 1,436.77 and 845.71

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Solution

The fourth proportional to 962.49, 1,436.77 and 845.71 is: 1,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.49 : 1,436.77 = 845.71 : x
  2. Step 2: Convert to fraction form
    962.49/1,436.77 = 845.71/x
  3. Step 3: Cross multiply
    962.49x = 1,436.77 × 845.71
  4. Step 4: Simplify right side
    962.49x = 1,215,092.56
  5. Step 5: Solve for x
    x = 1,215,092.56/962.49
  6. Step 6: Final answer
    x = 1,262.45

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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.