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Finding the Fourth Proportional to 853.33, 1,177.18 and 742.63

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Solution

The fourth proportional to 853.33, 1,177.18 and 742.63 is: 1,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.33 : 1,177.18 = 742.63 : x
  2. Step 2: Convert to fraction form
    853.33/1,177.18 = 742.63/x
  3. Step 3: Cross multiply
    853.33x = 1,177.18 × 742.63
  4. Step 4: Simplify right side
    853.33x = 874,209.18
  5. Step 5: Solve for x
    x = 874,209.18/853.33
  6. Step 6: Final answer
    x = 1,024.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.