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Finding the Fourth Proportional to 579.71, 869.66 and 287.23

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Solution

The fourth proportional to 579.71, 869.66 and 287.23 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.71 : 869.66 = 287.23 : x
  2. Step 2: Convert to fraction form
    579.71/869.66 = 287.23/x
  3. Step 3: Cross multiply
    579.71x = 869.66 × 287.23
  4. Step 4: Simplify right side
    579.71x = 249,790.71
  5. Step 5: Solve for x
    x = 249,790.71/579.71
  6. Step 6: Final answer
    x = 430.89

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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.