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Finding the Fourth Proportional to 1,107.16, 1,661.63 and 587.48

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Solution

The fourth proportional to 1,107.16, 1,661.63 and 587.48 is: 881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.16 : 1,661.63 = 587.48 : x
  2. Step 2: Convert to fraction form
    1,107.16/1,661.63 = 587.48/x
  3. Step 3: Cross multiply
    1,107.16x = 1,661.63 × 587.48
  4. Step 4: Simplify right side
    1,107.16x = 976,163.15
  5. Step 5: Solve for x
    x = 976,163.15/1,107.16
  6. Step 6: Final answer
    x = 881.68

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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.