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Finding the Fourth Proportional to 529.96, 791.41 and 524.23

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Solution

The fourth proportional to 529.96, 791.41 and 524.23 is: 782.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.96 : 791.41 = 524.23 : x
  2. Step 2: Convert to fraction form
    529.96/791.41 = 524.23/x
  3. Step 3: Cross multiply
    529.96x = 791.41 × 524.23
  4. Step 4: Simplify right side
    529.96x = 414,880.86
  5. Step 5: Solve for x
    x = 414,880.86/529.96
  6. Step 6: Final answer
    x = 782.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.