Home / 1,282.70-1,924.14-358.40

Finding the Fourth Proportional to 1,282.70, 1,924.14 and 358.40

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Solution

The fourth proportional to 1,282.70, 1,924.14 and 358.40 is: 537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.70 : 1,924.14 = 358.40 : x
  2. Step 2: Convert to fraction form
    1,282.70/1,924.14 = 358.40/x
  3. Step 3: Cross multiply
    1,282.70x = 1,924.14 × 358.40
  4. Step 4: Simplify right side
    1,282.70x = 689,611.78
  5. Step 5: Solve for x
    x = 689,611.78/1,282.70
  6. Step 6: Final answer
    x = 537.63

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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.