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Finding the Fourth Proportional to 758.62, 1,137.24 and 392.98

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Solution

The fourth proportional to 758.62, 1,137.24 and 392.98 is: 589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.62 : 1,137.24 = 392.98 : x
  2. Step 2: Convert to fraction form
    758.62/1,137.24 = 392.98/x
  3. Step 3: Cross multiply
    758.62x = 1,137.24 × 392.98
  4. Step 4: Simplify right side
    758.62x = 446,908.67
  5. Step 5: Solve for x
    x = 446,908.67/758.62
  6. Step 6: Final answer
    x = 589.11

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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.