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Finding the Fourth Proportional to 1,052.28, 1,578.36 and 282.78

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Solution

The fourth proportional to 1,052.28, 1,578.36 and 282.78 is: 424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.28 : 1,578.36 = 282.78 : x
  2. Step 2: Convert to fraction form
    1,052.28/1,578.36 = 282.78/x
  3. Step 3: Cross multiply
    1,052.28x = 1,578.36 × 282.78
  4. Step 4: Simplify right side
    1,052.28x = 446,328.64
  5. Step 5: Solve for x
    x = 446,328.64/1,052.28
  6. Step 6: Final answer
    x = 424.15

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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.