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Finding the Fourth Proportional to 1,115.43, 1,673.33 and 345.75

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Solution

The fourth proportional to 1,115.43, 1,673.33 and 345.75 is: 518.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.43 : 1,673.33 = 345.75 : x
  2. Step 2: Convert to fraction form
    1,115.43/1,673.33 = 345.75/x
  3. Step 3: Cross multiply
    1,115.43x = 1,673.33 × 345.75
  4. Step 4: Simplify right side
    1,115.43x = 578,552.12
  5. Step 5: Solve for x
    x = 578,552.12/1,115.43
  6. Step 6: Final answer
    x = 518.68

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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.