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Finding the Fourth Proportional to 1,360.48, 1,876.64 and 862.88

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Solution

The fourth proportional to 1,360.48, 1,876.64 and 862.88 is: 1,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.48 : 1,876.64 = 862.88 : x
  2. Step 2: Convert to fraction form
    1,360.48/1,876.64 = 862.88/x
  3. Step 3: Cross multiply
    1,360.48x = 1,876.64 × 862.88
  4. Step 4: Simplify right side
    1,360.48x = 1,619,315.12
  5. Step 5: Solve for x
    x = 1,619,315.12/1,360.48
  6. Step 6: Final answer
    x = 1,190.25

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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.