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Finding the Fourth Proportional to 632.65, 873.70 and 523.30

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Solution

The fourth proportional to 632.65, 873.70 and 523.30 is: 722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.65 : 873.70 = 523.30 : x
  2. Step 2: Convert to fraction form
    632.65/873.70 = 523.30/x
  3. Step 3: Cross multiply
    632.65x = 873.70 × 523.30
  4. Step 4: Simplify right side
    632.65x = 457,207.21
  5. Step 5: Solve for x
    x = 457,207.21/632.65
  6. Step 6: Final answer
    x = 722.69

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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.