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Finding the Fourth Proportional to 582.91, 805.70 and 512.44

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Solution

The fourth proportional to 582.91, 805.70 and 512.44 is: 708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.91 : 805.70 = 512.44 : x
  2. Step 2: Convert to fraction form
    582.91/805.70 = 512.44/x
  3. Step 3: Cross multiply
    582.91x = 805.70 × 512.44
  4. Step 4: Simplify right side
    582.91x = 412,872.91
  5. Step 5: Solve for x
    x = 412,872.91/582.91
  6. Step 6: Final answer
    x = 708.30

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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.