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Finding the Fourth Proportional to 572.96, 859.62 and 475.02

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Solution

The fourth proportional to 572.96, 859.62 and 475.02 is: 712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.96 : 859.62 = 475.02 : x
  2. Step 2: Convert to fraction form
    572.96/859.62 = 475.02/x
  3. Step 3: Cross multiply
    572.96x = 859.62 × 475.02
  4. Step 4: Simplify right side
    572.96x = 408,336.69
  5. Step 5: Solve for x
    x = 408,336.69/572.96
  6. Step 6: Final answer
    x = 712.68

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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.