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Finding the Fourth Proportional to 1,374.38, 2,061.57 and 348.38

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Solution

The fourth proportional to 1,374.38, 2,061.57 and 348.38 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.38 : 2,061.57 = 348.38 : x
  2. Step 2: Convert to fraction form
    1,374.38/2,061.57 = 348.38/x
  3. Step 3: Cross multiply
    1,374.38x = 2,061.57 × 348.38
  4. Step 4: Simplify right side
    1,374.38x = 718,199.45
  5. Step 5: Solve for x
    x = 718,199.45/1,374.38
  6. Step 6: Final answer
    x = 522.56

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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.