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Finding the Fourth Proportional to 434.43, 656.57 and 426.87

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Solution

The fourth proportional to 434.43, 656.57 and 426.87 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.43 : 656.57 = 426.87 : x
  2. Step 2: Convert to fraction form
    434.43/656.57 = 426.87/x
  3. Step 3: Cross multiply
    434.43x = 656.57 × 426.87
  4. Step 4: Simplify right side
    434.43x = 280,271.10
  5. Step 5: Solve for x
    x = 280,271.10/434.43
  6. Step 6: Final answer
    x = 645.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.