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Finding the Fourth Proportional to 868.76, 1,302.24 and 348.64

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Solution

The fourth proportional to 868.76, 1,302.24 and 348.64 is: 522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.76 : 1,302.24 = 348.64 : x
  2. Step 2: Convert to fraction form
    868.76/1,302.24 = 348.64/x
  3. Step 3: Cross multiply
    868.76x = 1,302.24 × 348.64
  4. Step 4: Simplify right side
    868.76x = 454,012.95
  5. Step 5: Solve for x
    x = 454,012.95/868.76
  6. Step 6: Final answer
    x = 522.60

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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.