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Finding the Fourth Proportional to 846.62, 1,271.25 and 805.46

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Solution

The fourth proportional to 846.62, 1,271.25 and 805.46 is: 1,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.62 : 1,271.25 = 805.46 : x
  2. Step 2: Convert to fraction form
    846.62/1,271.25 = 805.46/x
  3. Step 3: Cross multiply
    846.62x = 1,271.25 × 805.46
  4. Step 4: Simplify right side
    846.62x = 1,023,941.03
  5. Step 5: Solve for x
    x = 1,023,941.03/846.62
  6. Step 6: Final answer
    x = 1,209.45

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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.