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Finding the Fourth Proportional to 632.68, 871.74 and 457.72

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Solution

The fourth proportional to 632.68, 871.74 and 457.72 is: 630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.68 : 871.74 = 457.72 : x
  2. Step 2: Convert to fraction form
    632.68/871.74 = 457.72/x
  3. Step 3: Cross multiply
    632.68x = 871.74 × 457.72
  4. Step 4: Simplify right side
    632.68x = 399,012.83
  5. Step 5: Solve for x
    x = 399,012.83/632.68
  6. Step 6: Final answer
    x = 630.67

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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.