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Finding the Fourth Proportional to 632.28, 870.80 and 599.34

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Solution

The fourth proportional to 632.28, 870.80 and 599.34 is: 825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.28 : 870.80 = 599.34 : x
  2. Step 2: Convert to fraction form
    632.28/870.80 = 599.34/x
  3. Step 3: Cross multiply
    632.28x = 870.80 × 599.34
  4. Step 4: Simplify right side
    632.28x = 521,905.27
  5. Step 5: Solve for x
    x = 521,905.27/632.28
  6. Step 6: Final answer
    x = 825.43

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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.