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Finding the Fourth Proportional to 1,090.18, 1,635.31 and 569.89

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Solution

The fourth proportional to 1,090.18, 1,635.31 and 569.89 is: 854.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.18 : 1,635.31 = 569.89 : x
  2. Step 2: Convert to fraction form
    1,090.18/1,635.31 = 569.89/x
  3. Step 3: Cross multiply
    1,090.18x = 1,635.31 × 569.89
  4. Step 4: Simplify right side
    1,090.18x = 931,943.44
  5. Step 5: Solve for x
    x = 931,943.44/1,090.18
  6. Step 6: Final answer
    x = 854.85

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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.