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Finding the Fourth Proportional to 1,301.38, 1,795.46 and 803.50

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Solution

The fourth proportional to 1,301.38, 1,795.46 and 803.50 is: 1,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.38 : 1,795.46 = 803.50 : x
  2. Step 2: Convert to fraction form
    1,301.38/1,795.46 = 803.50/x
  3. Step 3: Cross multiply
    1,301.38x = 1,795.46 × 803.50
  4. Step 4: Simplify right side
    1,301.38x = 1,442,652.11
  5. Step 5: Solve for x
    x = 1,442,652.11/1,301.38
  6. Step 6: Final answer
    x = 1,108.56

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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.