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Finding the Fourth Proportional to 513.63, 774.52 and 503.91

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Solution

The fourth proportional to 513.63, 774.52 and 503.91 is: 759.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.63 : 774.52 = 503.91 : x
  2. Step 2: Convert to fraction form
    513.63/774.52 = 503.91/x
  3. Step 3: Cross multiply
    513.63x = 774.52 × 503.91
  4. Step 4: Simplify right side
    513.63x = 390,287.11
  5. Step 5: Solve for x
    x = 390,287.11/513.63
  6. Step 6: Final answer
    x = 759.86

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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.