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Finding the Fourth Proportional to 1,069.23, 1,603.24 and 444.11

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Solution

The fourth proportional to 1,069.23, 1,603.24 and 444.11 is: 665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.23 : 1,603.24 = 444.11 : x
  2. Step 2: Convert to fraction form
    1,069.23/1,603.24 = 444.11/x
  3. Step 3: Cross multiply
    1,069.23x = 1,603.24 × 444.11
  4. Step 4: Simplify right side
    1,069.23x = 712,017.81
  5. Step 5: Solve for x
    x = 712,017.81/1,069.23
  6. Step 6: Final answer
    x = 665.92

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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.