Home / 1,521.75-2,282.63-426.14

Finding the Fourth Proportional to 1,521.75, 2,282.63 and 426.14

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Solution

The fourth proportional to 1,521.75, 2,282.63 and 426.14 is: 639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.75 : 2,282.63 = 426.14 : x
  2. Step 2: Convert to fraction form
    1,521.75/2,282.63 = 426.14/x
  3. Step 3: Cross multiply
    1,521.75x = 2,282.63 × 426.14
  4. Step 4: Simplify right side
    1,521.75x = 972,706.40
  5. Step 5: Solve for x
    x = 972,706.40/1,521.75
  6. Step 6: Final answer
    x = 639.20

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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.