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Finding the Fourth Proportional to 572.92, 791.66 and 457.40

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Solution

The fourth proportional to 572.92, 791.66 and 457.40 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.92 : 791.66 = 457.40 : x
  2. Step 2: Convert to fraction form
    572.92/791.66 = 457.40/x
  3. Step 3: Cross multiply
    572.92x = 791.66 × 457.40
  4. Step 4: Simplify right side
    572.92x = 362,105.28
  5. Step 5: Solve for x
    x = 362,105.28/572.92
  6. Step 6: Final answer
    x = 632.03

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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.