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Finding the Fourth Proportional to 762.51, 1,143.62 and 214.65

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Solution

The fourth proportional to 762.51, 1,143.62 and 214.65 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.51 : 1,143.62 = 214.65 : x
  2. Step 2: Convert to fraction form
    762.51/1,143.62 = 214.65/x
  3. Step 3: Cross multiply
    762.51x = 1,143.62 × 214.65
  4. Step 4: Simplify right side
    762.51x = 245,477.76
  5. Step 5: Solve for x
    x = 245,477.76/762.51
  6. Step 6: Final answer
    x = 321.93

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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.