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Finding the Fourth Proportional to 1,048.54, 1,572.54 and 308.15

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Solution

The fourth proportional to 1,048.54, 1,572.54 and 308.15 is: 462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.54 : 1,572.54 = 308.15 : x
  2. Step 2: Convert to fraction form
    1,048.54/1,572.54 = 308.15/x
  3. Step 3: Cross multiply
    1,048.54x = 1,572.54 × 308.15
  4. Step 4: Simplify right side
    1,048.54x = 484,578.20
  5. Step 5: Solve for x
    x = 484,578.20/1,048.54
  6. Step 6: Final answer
    x = 462.15

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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.