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Finding the Fourth Proportional to 1,521.46, 2,281.78 and 425.87

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Solution

The fourth proportional to 1,521.46, 2,281.78 and 425.87 is: 638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.46 : 2,281.78 = 425.87 : x
  2. Step 2: Convert to fraction form
    1,521.46/2,281.78 = 425.87/x
  3. Step 3: Cross multiply
    1,521.46x = 2,281.78 × 425.87
  4. Step 4: Simplify right side
    1,521.46x = 971,741.65
  5. Step 5: Solve for x
    x = 971,741.65/1,521.46
  6. Step 6: Final answer
    x = 638.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.