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Finding the Fourth Proportional to 1,342.57, 2,013.62 and 355.39

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Solution

The fourth proportional to 1,342.57, 2,013.62 and 355.39 is: 533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.57 : 2,013.62 = 355.39 : x
  2. Step 2: Convert to fraction form
    1,342.57/2,013.62 = 355.39/x
  3. Step 3: Cross multiply
    1,342.57x = 2,013.62 × 355.39
  4. Step 4: Simplify right side
    1,342.57x = 715,620.41
  5. Step 5: Solve for x
    x = 715,620.41/1,342.57
  6. Step 6: Final answer
    x = 533.02

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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.