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Finding the Fourth Proportional to 868.03, 1,299.71 and 456.30

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Solution

The fourth proportional to 868.03, 1,299.71 and 456.30 is: 683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.03 : 1,299.71 = 456.30 : x
  2. Step 2: Convert to fraction form
    868.03/1,299.71 = 456.30/x
  3. Step 3: Cross multiply
    868.03x = 1,299.71 × 456.30
  4. Step 4: Simplify right side
    868.03x = 593,058.81
  5. Step 5: Solve for x
    x = 593,058.81/868.03
  6. Step 6: Final answer
    x = 683.22

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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.