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Finding the Fourth Proportional to 763.87, 1,142.31 and 569.01

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Solution

The fourth proportional to 763.87, 1,142.31 and 569.01 is: 850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.87 : 1,142.31 = 569.01 : x
  2. Step 2: Convert to fraction form
    763.87/1,142.31 = 569.01/x
  3. Step 3: Cross multiply
    763.87x = 1,142.31 × 569.01
  4. Step 4: Simplify right side
    763.87x = 649,984.21
  5. Step 5: Solve for x
    x = 649,984.21/763.87
  6. Step 6: Final answer
    x = 850.90

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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.