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Finding the Fourth Proportional to 737.30, 1,017.50 and 405.74

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Solution

The fourth proportional to 737.30, 1,017.50 and 405.74 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.30 : 1,017.50 = 405.74 : x
  2. Step 2: Convert to fraction form
    737.30/1,017.50 = 405.74/x
  3. Step 3: Cross multiply
    737.30x = 1,017.50 × 405.74
  4. Step 4: Simplify right side
    737.30x = 412,840.97
  5. Step 5: Solve for x
    x = 412,840.97/737.30
  6. Step 6: Final answer
    x = 559.93

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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.