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Finding the Fourth Proportional to 1,111.32, 1,667.06 and 342.36

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Solution

The fourth proportional to 1,111.32, 1,667.06 and 342.36 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.32 : 1,667.06 = 342.36 : x
  2. Step 2: Convert to fraction form
    1,111.32/1,667.06 = 342.36/x
  3. Step 3: Cross multiply
    1,111.32x = 1,667.06 × 342.36
  4. Step 4: Simplify right side
    1,111.32x = 570,734.66
  5. Step 5: Solve for x
    x = 570,734.66/1,111.32
  6. Step 6: Final answer
    x = 513.56

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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.