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Finding the Fourth Proportional to 556.54, 767.41 and 527.25

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Solution

The fourth proportional to 556.54, 767.41 and 527.25 is: 727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.54 : 767.41 = 527.25 : x
  2. Step 2: Convert to fraction form
    556.54/767.41 = 527.25/x
  3. Step 3: Cross multiply
    556.54x = 767.41 × 527.25
  4. Step 4: Simplify right side
    556.54x = 404,616.92
  5. Step 5: Solve for x
    x = 404,616.92/556.54
  6. Step 6: Final answer
    x = 727.02

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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.