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Finding the Fourth Proportional to 434.68, 656.95 and 427.12

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Solution

The fourth proportional to 434.68, 656.95 and 427.12 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.68 : 656.95 = 427.12 : x
  2. Step 2: Convert to fraction form
    434.68/656.95 = 427.12/x
  3. Step 3: Cross multiply
    434.68x = 656.95 × 427.12
  4. Step 4: Simplify right side
    434.68x = 280,596.48
  5. Step 5: Solve for x
    x = 280,596.48/434.68
  6. Step 6: Final answer
    x = 645.52

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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.