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Finding the Fourth Proportional to 847.15, 1,272.01 and 805.38

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Solution

The fourth proportional to 847.15, 1,272.01 and 805.38 is: 1,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.15 : 1,272.01 = 805.38 : x
  2. Step 2: Convert to fraction form
    847.15/1,272.01 = 805.38/x
  3. Step 3: Cross multiply
    847.15x = 1,272.01 × 805.38
  4. Step 4: Simplify right side
    847.15x = 1,024,459.20
  5. Step 5: Solve for x
    x = 1,024,459.20/847.15
  6. Step 6: Final answer
    x = 1,209.30

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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.