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Finding the Fourth Proportional to 1,111.66, 1,667.70 and 462.45

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Solution

The fourth proportional to 1,111.66, 1,667.70 and 462.45 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.66 : 1,667.70 = 462.45 : x
  2. Step 2: Convert to fraction form
    1,111.66/1,667.70 = 462.45/x
  3. Step 3: Cross multiply
    1,111.66x = 1,667.70 × 462.45
  4. Step 4: Simplify right side
    1,111.66x = 771,227.87
  5. Step 5: Solve for x
    x = 771,227.87/1,111.66
  6. Step 6: Final answer
    x = 693.76

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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.