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Finding the Fourth Proportional to 572.32, 788.54 and 404.19

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Solution

The fourth proportional to 572.32, 788.54 and 404.19 is: 556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.32 : 788.54 = 404.19 : x
  2. Step 2: Convert to fraction form
    572.32/788.54 = 404.19/x
  3. Step 3: Cross multiply
    572.32x = 788.54 × 404.19
  4. Step 4: Simplify right side
    572.32x = 318,720.99
  5. Step 5: Solve for x
    x = 318,720.99/572.32
  6. Step 6: Final answer
    x = 556.90

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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.