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Finding the Fourth Proportional to 487, 727.25 and 395.47

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Solution

The fourth proportional to 487, 727.25 and 395.47 is: 590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    487 : 727.25 = 395.47 : x
  2. Step 2: Convert to fraction form
    487/727.25 = 395.47/x
  3. Step 3: Cross multiply
    487x = 727.25 × 395.47
  4. Step 4: Simplify right side
    487x = 287,605.56
  5. Step 5: Solve for x
    x = 287,605.56/487
  6. Step 6: Final answer
    x = 590.57

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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.