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Finding the Fourth Proportional to 892.15, 1,337.51 and 453.40

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Solution

The fourth proportional to 892.15, 1,337.51 and 453.40 is: 679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.15 : 1,337.51 = 453.40 : x
  2. Step 2: Convert to fraction form
    892.15/1,337.51 = 453.40/x
  3. Step 3: Cross multiply
    892.15x = 1,337.51 × 453.40
  4. Step 4: Simplify right side
    892.15x = 606,424.82
  5. Step 5: Solve for x
    x = 606,424.82/892.15
  6. Step 6: Final answer
    x = 679.74

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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.