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Finding the Fourth Proportional to 631.42, 948 and 613.19

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Solution

The fourth proportional to 631.42, 948 and 613.19 is: 920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.42 : 948 = 613.19 : x
  2. Step 2: Convert to fraction form
    631.42/948 = 613.19/x
  3. Step 3: Cross multiply
    631.42x = 948 × 613.19
  4. Step 4: Simplify right side
    631.42x = 581,304.12
  5. Step 5: Solve for x
    x = 581,304.12/631.42
  6. Step 6: Final answer
    x = 920.63

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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.