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Finding the Fourth Proportional to 1,048.61, 1,571.47 and 1,008.66

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Solution

The fourth proportional to 1,048.61, 1,571.47 and 1,008.66 is: 1,511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.61 : 1,571.47 = 1,008.66 : x
  2. Step 2: Convert to fraction form
    1,048.61/1,571.47 = 1,008.66/x
  3. Step 3: Cross multiply
    1,048.61x = 1,571.47 × 1,008.66
  4. Step 4: Simplify right side
    1,048.61x = 1,585,082.30
  5. Step 5: Solve for x
    x = 1,585,082.30/1,048.61
  6. Step 6: Final answer
    x = 1,511.60

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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.