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Finding the Fourth Proportional to 513.66, 774.24 and 469.83

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Solution

The fourth proportional to 513.66, 774.24 and 469.83 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.66 : 774.24 = 469.83 : x
  2. Step 2: Convert to fraction form
    513.66/774.24 = 469.83/x
  3. Step 3: Cross multiply
    513.66x = 774.24 × 469.83
  4. Step 4: Simplify right side
    513.66x = 363,761.18
  5. Step 5: Solve for x
    x = 363,761.18/513.66
  6. Step 6: Final answer
    x = 708.18

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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.