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Finding the Fourth Proportional to 849.45, 1,271.34 and 484.14

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Solution

The fourth proportional to 849.45, 1,271.34 and 484.14 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.45 : 1,271.34 = 484.14 : x
  2. Step 2: Convert to fraction form
    849.45/1,271.34 = 484.14/x
  3. Step 3: Cross multiply
    849.45x = 1,271.34 × 484.14
  4. Step 4: Simplify right side
    849.45x = 615,506.55
  5. Step 5: Solve for x
    x = 615,506.55/849.45
  6. Step 6: Final answer
    x = 724.59

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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.