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Finding the Fourth Proportional to 1,069.77, 1,604.03 and 402.40

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Solution

The fourth proportional to 1,069.77, 1,604.03 and 402.40 is: 603.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.77 : 1,604.03 = 402.40 : x
  2. Step 2: Convert to fraction form
    1,069.77/1,604.03 = 402.40/x
  3. Step 3: Cross multiply
    1,069.77x = 1,604.03 × 402.40
  4. Step 4: Simplify right side
    1,069.77x = 645,453.65
  5. Step 5: Solve for x
    x = 645,453.65/1,069.77
  6. Step 6: Final answer
    x = 603.36

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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.