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Finding the Fourth Proportional to 572.68, 791.76 and 433.53

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Solution

The fourth proportional to 572.68, 791.76 and 433.53 is: 599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 791.76 = 433.53 : x
  2. Step 2: Convert to fraction form
    572.68/791.76 = 433.53/x
  3. Step 3: Cross multiply
    572.68x = 791.76 × 433.53
  4. Step 4: Simplify right side
    572.68x = 343,251.71
  5. Step 5: Solve for x
    x = 343,251.71/572.68
  6. Step 6: Final answer
    x = 599.38

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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.