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Finding the Fourth Proportional to 1,052.50, 1,578.78 and 283

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Solution

The fourth proportional to 1,052.50, 1,578.78 and 283 is: 424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.50 : 1,578.78 = 283 : x
  2. Step 2: Convert to fraction form
    1,052.50/1,578.78 = 283/x
  3. Step 3: Cross multiply
    1,052.50x = 1,578.78 × 283
  4. Step 4: Simplify right side
    1,052.50x = 446,794.74
  5. Step 5: Solve for x
    x = 446,794.74/1,052.50
  6. Step 6: Final answer
    x = 424.51

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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.