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Finding the Fourth Proportional to 1,182.88, 1,632.62 and 948.39

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Solution

The fourth proportional to 1,182.88, 1,632.62 and 948.39 is: 1,308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.88 : 1,632.62 = 948.39 : x
  2. Step 2: Convert to fraction form
    1,182.88/1,632.62 = 948.39/x
  3. Step 3: Cross multiply
    1,182.88x = 1,632.62 × 948.39
  4. Step 4: Simplify right side
    1,182.88x = 1,548,360.48
  5. Step 5: Solve for x
    x = 1,548,360.48/1,182.88
  6. Step 6: Final answer
    x = 1,308.98

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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.