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Finding the Fourth Proportional to 738.48, 1,107.60 and 348.48

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Solution

The fourth proportional to 738.48, 1,107.60 and 348.48 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.48 : 1,107.60 = 348.48 : x
  2. Step 2: Convert to fraction form
    738.48/1,107.60 = 348.48/x
  3. Step 3: Cross multiply
    738.48x = 1,107.60 × 348.48
  4. Step 4: Simplify right side
    738.48x = 385,976.45
  5. Step 5: Solve for x
    x = 385,976.45/738.48
  6. Step 6: Final answer
    x = 522.66

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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.