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Finding the Fourth Proportional to 758.14, 1,137.22 and 392.74

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Solution

The fourth proportional to 758.14, 1,137.22 and 392.74 is: 589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.14 : 1,137.22 = 392.74 : x
  2. Step 2: Convert to fraction form
    758.14/1,137.22 = 392.74/x
  3. Step 3: Cross multiply
    758.14x = 1,137.22 × 392.74
  4. Step 4: Simplify right side
    758.14x = 446,631.78
  5. Step 5: Solve for x
    x = 446,631.78/758.14
  6. Step 6: Final answer
    x = 589.12

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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.