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Finding the Fourth Proportional to 425.79, 587.51 and 286.14

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Solution

The fourth proportional to 425.79, 587.51 and 286.14 is: 394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.79 : 587.51 = 286.14 : x
  2. Step 2: Convert to fraction form
    425.79/587.51 = 286.14/x
  3. Step 3: Cross multiply
    425.79x = 587.51 × 286.14
  4. Step 4: Simplify right side
    425.79x = 168,107.17
  5. Step 5: Solve for x
    x = 168,107.17/425.79
  6. Step 6: Final answer
    x = 394.82

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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.