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Finding the Fourth Proportional to 486.61, 726.57 and 395.48

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Solution

The fourth proportional to 486.61, 726.57 and 395.48 is: 590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.61 : 726.57 = 395.48 : x
  2. Step 2: Convert to fraction form
    486.61/726.57 = 395.48/x
  3. Step 3: Cross multiply
    486.61x = 726.57 × 395.48
  4. Step 4: Simplify right side
    486.61x = 287,345.72
  5. Step 5: Solve for x
    x = 287,345.72/486.61
  6. Step 6: Final answer
    x = 590.51

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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.