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Finding the Fourth Proportional to 869.50, 1,304.39 and 597.34

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Solution

The fourth proportional to 869.50, 1,304.39 and 597.34 is: 896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.50 : 1,304.39 = 597.34 : x
  2. Step 2: Convert to fraction form
    869.50/1,304.39 = 597.34/x
  3. Step 3: Cross multiply
    869.50x = 1,304.39 × 597.34
  4. Step 4: Simplify right side
    869.50x = 779,164.32
  5. Step 5: Solve for x
    x = 779,164.32/869.50
  6. Step 6: Final answer
    x = 896.11

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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.