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Finding the Fourth Proportional to 937.02, 1,405.57 and 287.74

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Solution

The fourth proportional to 937.02, 1,405.57 and 287.74 is: 431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.02 : 1,405.57 = 287.74 : x
  2. Step 2: Convert to fraction form
    937.02/1,405.57 = 287.74/x
  3. Step 3: Cross multiply
    937.02x = 1,405.57 × 287.74
  4. Step 4: Simplify right side
    937.02x = 404,438.71
  5. Step 5: Solve for x
    x = 404,438.71/937.02
  6. Step 6: Final answer
    x = 431.62

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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.