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Finding the Fourth Proportional to 1,578.24, 2,367.36 and 552

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Solution

The fourth proportional to 1,578.24, 2,367.36 and 552 is: 828

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.24 : 2,367.36 = 552 : x
  2. Step 2: Convert to fraction form
    1,578.24/2,367.36 = 552/x
  3. Step 3: Cross multiply
    1,578.24x = 2,367.36 × 552
  4. Step 4: Simplify right side
    1,578.24x = 1,306,782.72
  5. Step 5: Solve for x
    x = 1,306,782.72/1,578.24
  6. Step 6: Final answer
    x = 828

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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.