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Finding the Fourth Proportional to 1,605, 2,405.68 and 737.52

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Solution

The fourth proportional to 1,605, 2,405.68 and 737.52 is: 1,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605 : 2,405.68 = 737.52 : x
  2. Step 2: Convert to fraction form
    1,605/2,405.68 = 737.52/x
  3. Step 3: Cross multiply
    1,605x = 2,405.68 × 737.52
  4. Step 4: Simplify right side
    1,605x = 1,774,237.11
  5. Step 5: Solve for x
    x = 1,774,237.11/1,605
  6. Step 6: Final answer
    x = 1,105.44

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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.