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Finding the Fourth Proportional to 896.48, 1,344.16 and 434.08

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Solution

The fourth proportional to 896.48, 1,344.16 and 434.08 is: 650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.48 : 1,344.16 = 434.08 : x
  2. Step 2: Convert to fraction form
    896.48/1,344.16 = 434.08/x
  3. Step 3: Cross multiply
    896.48x = 1,344.16 × 434.08
  4. Step 4: Simplify right side
    896.48x = 583,472.97
  5. Step 5: Solve for x
    x = 583,472.97/896.48
  6. Step 6: Final answer
    x = 650.85

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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.