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Finding the Fourth Proportional to 572.43, 788.85 and 448.50

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Solution

The fourth proportional to 572.43, 788.85 and 448.50 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.43 : 788.85 = 448.50 : x
  2. Step 2: Convert to fraction form
    572.43/788.85 = 448.50/x
  3. Step 3: Cross multiply
    572.43x = 788.85 × 448.50
  4. Step 4: Simplify right side
    572.43x = 353,799.23
  5. Step 5: Solve for x
    x = 353,799.23/572.43
  6. Step 6: Final answer
    x = 618.07

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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.