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Finding the Fourth Proportional to 737.21, 1,017.29 and 405.65

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Solution

The fourth proportional to 737.21, 1,017.29 and 405.65 is: 559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.21 : 1,017.29 = 405.65 : x
  2. Step 2: Convert to fraction form
    737.21/1,017.29 = 405.65/x
  3. Step 3: Cross multiply
    737.21x = 1,017.29 × 405.65
  4. Step 4: Simplify right side
    737.21x = 412,656.57
  5. Step 5: Solve for x
    x = 412,656.57/737.21
  6. Step 6: Final answer
    x = 559.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.