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Finding the Fourth Proportional to 1,160.80, 1,602 and 663.60

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Solution

The fourth proportional to 1,160.80, 1,602 and 663.60 is: 915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.80 : 1,602 = 663.60 : x
  2. Step 2: Convert to fraction form
    1,160.80/1,602 = 663.60/x
  3. Step 3: Cross multiply
    1,160.80x = 1,602 × 663.60
  4. Step 4: Simplify right side
    1,160.80x = 1,063,087.20
  5. Step 5: Solve for x
    x = 1,063,087.20/1,160.80
  6. Step 6: Final answer
    x = 915.82

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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.