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Finding the Fourth Proportional to 523.92, 788.70 and 471

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Solution

The fourth proportional to 523.92, 788.70 and 471 is: 709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.92 : 788.70 = 471 : x
  2. Step 2: Convert to fraction form
    523.92/788.70 = 471/x
  3. Step 3: Cross multiply
    523.92x = 788.70 × 471
  4. Step 4: Simplify right side
    523.92x = 371,477.70
  5. Step 5: Solve for x
    x = 371,477.70/523.92
  6. Step 6: Final answer
    x = 709.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.