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Finding the Fourth Proportional to 1,605.30, 2,405.36 and 909.90

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Solution

The fourth proportional to 1,605.30, 2,405.36 and 909.90 is: 1,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.30 : 2,405.36 = 909.90 : x
  2. Step 2: Convert to fraction form
    1,605.30/2,405.36 = 909.90/x
  3. Step 3: Cross multiply
    1,605.30x = 2,405.36 × 909.90
  4. Step 4: Simplify right side
    1,605.30x = 2,188,639.34
  5. Step 5: Solve for x
    x = 2,188,639.34/1,605.30
  6. Step 6: Final answer
    x = 1,363.38

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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.