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Finding the Fourth Proportional to 1,575.82, 2,174.62 and 877.20

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Solution

The fourth proportional to 1,575.82, 2,174.62 and 877.20 is: 1,210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.82 : 2,174.62 = 877.20 : x
  2. Step 2: Convert to fraction form
    1,575.82/2,174.62 = 877.20/x
  3. Step 3: Cross multiply
    1,575.82x = 2,174.62 × 877.20
  4. Step 4: Simplify right side
    1,575.82x = 1,907,576.66
  5. Step 5: Solve for x
    x = 1,907,576.66/1,575.82
  6. Step 6: Final answer
    x = 1,210.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.