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Finding the Fourth Proportional to 1,078.50, 1,617.78 and 348.15

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Solution

The fourth proportional to 1,078.50, 1,617.78 and 348.15 is: 522.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,617.78 = 348.15 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,617.78 = 348.15/x
  3. Step 3: Cross multiply
    1,078.50x = 1,617.78 × 348.15
  4. Step 4: Simplify right side
    1,078.50x = 563,230.11
  5. Step 5: Solve for x
    x = 563,230.11/1,078.50
  6. Step 6: Final answer
    x = 522.23

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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.