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Finding the Fourth Proportional to 487.64, 730.85 and 270.77

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Solution

The fourth proportional to 487.64, 730.85 and 270.77 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.64 : 730.85 = 270.77 : x
  2. Step 2: Convert to fraction form
    487.64/730.85 = 270.77/x
  3. Step 3: Cross multiply
    487.64x = 730.85 × 270.77
  4. Step 4: Simplify right side
    487.64x = 197,887.25
  5. Step 5: Solve for x
    x = 197,887.25/487.64
  6. Step 6: Final answer
    x = 405.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.