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Finding the Fourth Proportional to 763.81, 1,143.88 and 599.78

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Solution

The fourth proportional to 763.81, 1,143.88 and 599.78 is: 898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.81 : 1,143.88 = 599.78 : x
  2. Step 2: Convert to fraction form
    763.81/1,143.88 = 599.78/x
  3. Step 3: Cross multiply
    763.81x = 1,143.88 × 599.78
  4. Step 4: Simplify right side
    763.81x = 686,076.35
  5. Step 5: Solve for x
    x = 686,076.35/763.81
  6. Step 6: Final answer
    x = 898.23

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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.