Home / 1,112.40-1,667.72-462.56

Finding the Fourth Proportional to 1,112.40, 1,667.72 and 462.56

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Solution

The fourth proportional to 1,112.40, 1,667.72 and 462.56 is: 693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.40 : 1,667.72 = 462.56 : x
  2. Step 2: Convert to fraction form
    1,112.40/1,667.72 = 462.56/x
  3. Step 3: Cross multiply
    1,112.40x = 1,667.72 × 462.56
  4. Step 4: Simplify right side
    1,112.40x = 771,420.56
  5. Step 5: Solve for x
    x = 771,420.56/1,112.40
  6. Step 6: Final answer
    x = 693.47

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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.