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Finding the Fourth Proportional to 873.06, 1,301.14 and 845.38

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Solution

The fourth proportional to 873.06, 1,301.14 and 845.38 is: 1,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,301.14 = 845.38 : x
  2. Step 2: Convert to fraction form
    873.06/1,301.14 = 845.38/x
  3. Step 3: Cross multiply
    873.06x = 1,301.14 × 845.38
  4. Step 4: Simplify right side
    873.06x = 1,099,957.73
  5. Step 5: Solve for x
    x = 1,099,957.73/873.06
  6. Step 6: Final answer
    x = 1,259.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.