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Finding the Fourth Proportional to 1,110.11, 1,665.50 and 561.98

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Solution

The fourth proportional to 1,110.11, 1,665.50 and 561.98 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.11 : 1,665.50 = 561.98 : x
  2. Step 2: Convert to fraction form
    1,110.11/1,665.50 = 561.98/x
  3. Step 3: Cross multiply
    1,110.11x = 1,665.50 × 561.98
  4. Step 4: Simplify right side
    1,110.11x = 935,979.04
  5. Step 5: Solve for x
    x = 935,979.04/1,110.11
  6. Step 6: Final answer
    x = 843.14

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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.