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Finding the Fourth Proportional to 883.19, 1,323.87 and 575.19

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Solution

The fourth proportional to 883.19, 1,323.87 and 575.19 is: 862.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.19 : 1,323.87 = 575.19 : x
  2. Step 2: Convert to fraction form
    883.19/1,323.87 = 575.19/x
  3. Step 3: Cross multiply
    883.19x = 1,323.87 × 575.19
  4. Step 4: Simplify right side
    883.19x = 761,476.79
  5. Step 5: Solve for x
    x = 761,476.79/883.19
  6. Step 6: Final answer
    x = 862.19

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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.