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Finding the Fourth Proportional to 1,069.15, 1,603.72 and 581.17

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Solution

The fourth proportional to 1,069.15, 1,603.72 and 581.17 is: 871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.15 : 1,603.72 = 581.17 : x
  2. Step 2: Convert to fraction form
    1,069.15/1,603.72 = 581.17/x
  3. Step 3: Cross multiply
    1,069.15x = 1,603.72 × 581.17
  4. Step 4: Simplify right side
    1,069.15x = 932,037.96
  5. Step 5: Solve for x
    x = 932,037.96/1,069.15
  6. Step 6: Final answer
    x = 871.76

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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.