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Finding the Fourth Proportional to 944.80, 1,303.56 and 613.42

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Solution

The fourth proportional to 944.80, 1,303.56 and 613.42 is: 846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.80 : 1,303.56 = 613.42 : x
  2. Step 2: Convert to fraction form
    944.80/1,303.56 = 613.42/x
  3. Step 3: Cross multiply
    944.80x = 1,303.56 × 613.42
  4. Step 4: Simplify right side
    944.80x = 799,629.78
  5. Step 5: Solve for x
    x = 799,629.78/944.80
  6. Step 6: Final answer
    x = 846.35

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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.