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Finding the Fourth Proportional to 758.51, 1,137.64 and 210.57

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Solution

The fourth proportional to 758.51, 1,137.64 and 210.57 is: 315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.51 : 1,137.64 = 210.57 : x
  2. Step 2: Convert to fraction form
    758.51/1,137.64 = 210.57/x
  3. Step 3: Cross multiply
    758.51x = 1,137.64 × 210.57
  4. Step 4: Simplify right side
    758.51x = 239,552.85
  5. Step 5: Solve for x
    x = 239,552.85/758.51
  6. Step 6: Final answer
    x = 315.82

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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.