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Finding the Fourth Proportional to 869.23, 1,199.53 and 470.90

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Solution

The fourth proportional to 869.23, 1,199.53 and 470.90 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,199.53 = 470.90 : x
  2. Step 2: Convert to fraction form
    869.23/1,199.53 = 470.90/x
  3. Step 3: Cross multiply
    869.23x = 1,199.53 × 470.90
  4. Step 4: Simplify right side
    869.23x = 564,852.68
  5. Step 5: Solve for x
    x = 564,852.68/869.23
  6. Step 6: Final answer
    x = 649.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.