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Finding the Fourth Proportional to 425.34, 587.12 and 294.53

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Solution

The fourth proportional to 425.34, 587.12 and 294.53 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 587.12 = 294.53 : x
  2. Step 2: Convert to fraction form
    425.34/587.12 = 294.53/x
  3. Step 3: Cross multiply
    425.34x = 587.12 × 294.53
  4. Step 4: Simplify right side
    425.34x = 172,920.05
  5. Step 5: Solve for x
    x = 172,920.05/425.34
  6. Step 6: Final answer
    x = 406.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.