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Finding the Fourth Proportional to 1,182.61, 1,632 and 651.48

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Solution

The fourth proportional to 1,182.61, 1,632 and 651.48 is: 899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.61 : 1,632 = 651.48 : x
  2. Step 2: Convert to fraction form
    1,182.61/1,632 = 651.48/x
  3. Step 3: Cross multiply
    1,182.61x = 1,632 × 651.48
  4. Step 4: Simplify right side
    1,182.61x = 1,063,215.36
  5. Step 5: Solve for x
    x = 1,063,215.36/1,182.61
  6. Step 6: Final answer
    x = 899.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.