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Finding the Fourth Proportional to 425.76, 586.17 and 294.54

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Solution

The fourth proportional to 425.76, 586.17 and 294.54 is: 405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 586.17 = 294.54 : x
  2. Step 2: Convert to fraction form
    425.76/586.17 = 294.54/x
  3. Step 3: Cross multiply
    425.76x = 586.17 × 294.54
  4. Step 4: Simplify right side
    425.76x = 172,650.51
  5. Step 5: Solve for x
    x = 172,650.51/425.76
  6. Step 6: Final answer
    x = 405.51

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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.