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Finding the Fourth Proportional to 572.76, 859.32 and 420.66

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Solution

The fourth proportional to 572.76, 859.32 and 420.66 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.76 : 859.32 = 420.66 : x
  2. Step 2: Convert to fraction form
    572.76/859.32 = 420.66/x
  3. Step 3: Cross multiply
    572.76x = 859.32 × 420.66
  4. Step 4: Simplify right side
    572.76x = 361,481.55
  5. Step 5: Solve for x
    x = 361,481.55/572.76
  6. Step 6: Final answer
    x = 631.12

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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.