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Finding the Fourth Proportional to 868.60, 1,302.78 and 348.58

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Solution

The fourth proportional to 868.60, 1,302.78 and 348.58 is: 522.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.60 : 1,302.78 = 348.58 : x
  2. Step 2: Convert to fraction form
    868.60/1,302.78 = 348.58/x
  3. Step 3: Cross multiply
    868.60x = 1,302.78 × 348.58
  4. Step 4: Simplify right side
    868.60x = 454,123.05
  5. Step 5: Solve for x
    x = 454,123.05/868.60
  6. Step 6: Final answer
    x = 522.82

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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.