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Finding the Fourth Proportional to 631.57, 948.53 and 516.26

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Solution

The fourth proportional to 631.57, 948.53 and 516.26 is: 775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.57 : 948.53 = 516.26 : x
  2. Step 2: Convert to fraction form
    631.57/948.53 = 516.26/x
  3. Step 3: Cross multiply
    631.57x = 948.53 × 516.26
  4. Step 4: Simplify right side
    631.57x = 489,682.71
  5. Step 5: Solve for x
    x = 489,682.71/631.57
  6. Step 6: Final answer
    x = 775.35

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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.