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Finding the Fourth Proportional to 1,110.58, 1,666.89 and 563.15

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Solution

The fourth proportional to 1,110.58, 1,666.89 and 563.15 is: 845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.58 : 1,666.89 = 563.15 : x
  2. Step 2: Convert to fraction form
    1,110.58/1,666.89 = 563.15/x
  3. Step 3: Cross multiply
    1,110.58x = 1,666.89 × 563.15
  4. Step 4: Simplify right side
    1,110.58x = 938,716.40
  5. Step 5: Solve for x
    x = 938,716.40/1,110.58
  6. Step 6: Final answer
    x = 845.25

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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.