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Finding the Fourth Proportional to 758.40, 1,137.65 and 210.57

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Solution

The fourth proportional to 758.40, 1,137.65 and 210.57 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.40 : 1,137.65 = 210.57 : x
  2. Step 2: Convert to fraction form
    758.40/1,137.65 = 210.57/x
  3. Step 3: Cross multiply
    758.40x = 1,137.65 × 210.57
  4. Step 4: Simplify right side
    758.40x = 239,553.91
  5. Step 5: Solve for x
    x = 239,553.91/758.40
  6. Step 6: Final answer
    x = 315.87

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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.