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Finding the Fourth Proportional to 962.79, 1,436.69 and 853.44

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Solution

The fourth proportional to 962.79, 1,436.69 and 853.44 is: 1,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.79 : 1,436.69 = 853.44 : x
  2. Step 2: Convert to fraction form
    962.79/1,436.69 = 853.44/x
  3. Step 3: Cross multiply
    962.79x = 1,436.69 × 853.44
  4. Step 4: Simplify right side
    962.79x = 1,226,128.71
  5. Step 5: Solve for x
    x = 1,226,128.71/962.79
  6. Step 6: Final answer
    x = 1,273.52

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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.