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Finding the Fourth Proportional to 582.95, 804.92 and 513.83

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Solution

The fourth proportional to 582.95, 804.92 and 513.83 is: 709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.95 : 804.92 = 513.83 : x
  2. Step 2: Convert to fraction form
    582.95/804.92 = 513.83/x
  3. Step 3: Cross multiply
    582.95x = 804.92 × 513.83
  4. Step 4: Simplify right side
    582.95x = 413,585.45
  5. Step 5: Solve for x
    x = 413,585.45/582.95
  6. Step 6: Final answer
    x = 709.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.