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Finding the Fourth Proportional to 962.41, 1,436.13 and 853.06

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Solution

The fourth proportional to 962.41, 1,436.13 and 853.06 is: 1,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.41 : 1,436.13 = 853.06 : x
  2. Step 2: Convert to fraction form
    962.41/1,436.13 = 853.06/x
  3. Step 3: Cross multiply
    962.41x = 1,436.13 × 853.06
  4. Step 4: Simplify right side
    962.41x = 1,225,105.06
  5. Step 5: Solve for x
    x = 1,225,105.06/962.41
  6. Step 6: Final answer
    x = 1,272.96

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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.