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Finding the Fourth Proportional to 1,069.23, 1,602.89 and 575.90

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Solution

The fourth proportional to 1,069.23, 1,602.89 and 575.90 is: 863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.23 : 1,602.89 = 575.90 : x
  2. Step 2: Convert to fraction form
    1,069.23/1,602.89 = 575.90/x
  3. Step 3: Cross multiply
    1,069.23x = 1,602.89 × 575.90
  4. Step 4: Simplify right side
    1,069.23x = 923,104.35
  5. Step 5: Solve for x
    x = 923,104.35/1,069.23
  6. Step 6: Final answer
    x = 863.34

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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.