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Finding the Fourth Proportional to 879.06, 1,315.83 and 658.38

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Solution

The fourth proportional to 879.06, 1,315.83 and 658.38 is: 985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.06 : 1,315.83 = 658.38 : x
  2. Step 2: Convert to fraction form
    879.06/1,315.83 = 658.38/x
  3. Step 3: Cross multiply
    879.06x = 1,315.83 × 658.38
  4. Step 4: Simplify right side
    879.06x = 866,316.16
  5. Step 5: Solve for x
    x = 866,316.16/879.06
  6. Step 6: Final answer
    x = 985.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.