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Finding the Fourth Proportional to 425.75, 587.78 and 322.07

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Solution

The fourth proportional to 425.75, 587.78 and 322.07 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.75 : 587.78 = 322.07 : x
  2. Step 2: Convert to fraction form
    425.75/587.78 = 322.07/x
  3. Step 3: Cross multiply
    425.75x = 587.78 × 322.07
  4. Step 4: Simplify right side
    425.75x = 189,306.30
  5. Step 5: Solve for x
    x = 189,306.30/425.75
  6. Step 6: Final answer
    x = 444.64

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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.