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Finding the Fourth Proportional to 572.80, 859.02 and 207.64

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Solution

The fourth proportional to 572.80, 859.02 and 207.64 is: 311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 859.02 = 207.64 : x
  2. Step 2: Convert to fraction form
    572.80/859.02 = 207.64/x
  3. Step 3: Cross multiply
    572.80x = 859.02 × 207.64
  4. Step 4: Simplify right side
    572.80x = 178,366.91
  5. Step 5: Solve for x
    x = 178,366.91/572.80
  6. Step 6: Final answer
    x = 311.39

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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.