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Finding the Fourth Proportional to 523.97, 788.85 and 434.06

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Solution

The fourth proportional to 523.97, 788.85 and 434.06 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 788.85 = 434.06 : x
  2. Step 2: Convert to fraction form
    523.97/788.85 = 434.06/x
  3. Step 3: Cross multiply
    523.97x = 788.85 × 434.06
  4. Step 4: Simplify right side
    523.97x = 342,408.23
  5. Step 5: Solve for x
    x = 342,408.23/523.97
  6. Step 6: Final answer
    x = 653.49

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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.