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Finding the Fourth Proportional to 892, 1,335.60 and 602.08

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Solution

The fourth proportional to 892, 1,335.60 and 602.08 is: 901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,335.60 = 602.08 : x
  2. Step 2: Convert to fraction form
    892/1,335.60 = 602.08/x
  3. Step 3: Cross multiply
    892x = 1,335.60 × 602.08
  4. Step 4: Simplify right side
    892x = 804,138.05
  5. Step 5: Solve for x
    x = 804,138.05/892
  6. Step 6: Final answer
    x = 901.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.