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Finding the Fourth Proportional to 483.06, 724.77 and 277.77

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Solution

The fourth proportional to 483.06, 724.77 and 277.77 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.06 : 724.77 = 277.77 : x
  2. Step 2: Convert to fraction form
    483.06/724.77 = 277.77/x
  3. Step 3: Cross multiply
    483.06x = 724.77 × 277.77
  4. Step 4: Simplify right side
    483.06x = 201,319.36
  5. Step 5: Solve for x
    x = 201,319.36/483.06
  6. Step 6: Final answer
    x = 416.76

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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.