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Finding the Fourth Proportional to 572.80, 788.64 and 456.64

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Solution

The fourth proportional to 572.80, 788.64 and 456.64 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.80 : 788.64 = 456.64 : x
  2. Step 2: Convert to fraction form
    572.80/788.64 = 456.64/x
  3. Step 3: Cross multiply
    572.80x = 788.64 × 456.64
  4. Step 4: Simplify right side
    572.80x = 360,124.57
  5. Step 5: Solve for x
    x = 360,124.57/572.80
  6. Step 6: Final answer
    x = 628.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.