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Finding the Fourth Proportional to 738.26, 1,107.06 and 348.20

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Solution

The fourth proportional to 738.26, 1,107.06 and 348.20 is: 522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.26 : 1,107.06 = 348.20 : x
  2. Step 2: Convert to fraction form
    738.26/1,107.06 = 348.20/x
  3. Step 3: Cross multiply
    738.26x = 1,107.06 × 348.20
  4. Step 4: Simplify right side
    738.26x = 385,478.29
  5. Step 5: Solve for x
    x = 385,478.29/738.26
  6. Step 6: Final answer
    x = 522.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.