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Finding the Fourth Proportional to 1,078.58, 1,487.94 and 658.60

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Solution

The fourth proportional to 1,078.58, 1,487.94 and 658.60 is: 908.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.58 : 1,487.94 = 658.60 : x
  2. Step 2: Convert to fraction form
    1,078.58/1,487.94 = 658.60/x
  3. Step 3: Cross multiply
    1,078.58x = 1,487.94 × 658.60
  4. Step 4: Simplify right side
    1,078.58x = 979,957.28
  5. Step 5: Solve for x
    x = 979,957.28/1,078.58
  6. Step 6: Final answer
    x = 908.56

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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.