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Finding the Fourth Proportional to 632.34, 871.74 and 435.48

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Solution

The fourth proportional to 632.34, 871.74 and 435.48 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.34 : 871.74 = 435.48 : x
  2. Step 2: Convert to fraction form
    632.34/871.74 = 435.48/x
  3. Step 3: Cross multiply
    632.34x = 871.74 × 435.48
  4. Step 4: Simplify right side
    632.34x = 379,625.34
  5. Step 5: Solve for x
    x = 379,625.34/632.34
  6. Step 6: Final answer
    x = 600.35

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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.