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Finding the Fourth Proportional to 523.41, 778.95 and 503.97

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Solution

The fourth proportional to 523.41, 778.95 and 503.97 is: 750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 778.95 = 503.97 : x
  2. Step 2: Convert to fraction form
    523.41/778.95 = 503.97/x
  3. Step 3: Cross multiply
    523.41x = 778.95 × 503.97
  4. Step 4: Simplify right side
    523.41x = 392,567.43
  5. Step 5: Solve for x
    x = 392,567.43/523.41
  6. Step 6: Final answer
    x = 750.02

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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.