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Finding the Fourth Proportional to 892.72, 1,339.36 and 460.16

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Solution

The fourth proportional to 892.72, 1,339.36 and 460.16 is: 690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,339.36 = 460.16 : x
  2. Step 2: Convert to fraction form
    892.72/1,339.36 = 460.16/x
  3. Step 3: Cross multiply
    892.72x = 1,339.36 × 460.16
  4. Step 4: Simplify right side
    892.72x = 616,319.90
  5. Step 5: Solve for x
    x = 616,319.90/892.72
  6. Step 6: Final answer
    x = 690.38

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1.5x scale

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.