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Finding the Fourth Proportional to 847.38, 1,271.13 and 801.21

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Solution

The fourth proportional to 847.38, 1,271.13 and 801.21 is: 1,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.38 : 1,271.13 = 801.21 : x
  2. Step 2: Convert to fraction form
    847.38/1,271.13 = 801.21/x
  3. Step 3: Cross multiply
    847.38x = 1,271.13 × 801.21
  4. Step 4: Simplify right side
    847.38x = 1,018,442.07
  5. Step 5: Solve for x
    x = 1,018,442.07/847.38
  6. Step 6: Final answer
    x = 1,201.87

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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.