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Finding the Fourth Proportional to 868.98, 1,302.03 and 625.14

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Solution

The fourth proportional to 868.98, 1,302.03 and 625.14 is: 936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.98 : 1,302.03 = 625.14 : x
  2. Step 2: Convert to fraction form
    868.98/1,302.03 = 625.14/x
  3. Step 3: Cross multiply
    868.98x = 1,302.03 × 625.14
  4. Step 4: Simplify right side
    868.98x = 813,951.03
  5. Step 5: Solve for x
    x = 813,951.03/868.98
  6. Step 6: Final answer
    x = 936.67

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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.