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Finding the Fourth Proportional to 762.60, 1,143.74 and 214.79

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Solution

The fourth proportional to 762.60, 1,143.74 and 214.79 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,143.74 = 214.79 : x
  2. Step 2: Convert to fraction form
    762.60/1,143.74 = 214.79/x
  3. Step 3: Cross multiply
    762.60x = 1,143.74 × 214.79
  4. Step 4: Simplify right side
    762.60x = 245,657.12
  5. Step 5: Solve for x
    x = 245,657.12/762.60
  6. Step 6: Final answer
    x = 322.13

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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.