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Finding the Fourth Proportional to 1,282.70, 1,923.74 and 358.28

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Solution

The fourth proportional to 1,282.70, 1,923.74 and 358.28 is: 537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.70 : 1,923.74 = 358.28 : x
  2. Step 2: Convert to fraction form
    1,282.70/1,923.74 = 358.28/x
  3. Step 3: Cross multiply
    1,282.70x = 1,923.74 × 358.28
  4. Step 4: Simplify right side
    1,282.70x = 689,240.59
  5. Step 5: Solve for x
    x = 689,240.59/1,282.70
  6. Step 6: Final answer
    x = 537.34

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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.