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Finding the Fourth Proportional to 553.36, 767.27 and 524.20

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Solution

The fourth proportional to 553.36, 767.27 and 524.20 is: 726.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 767.27 = 524.20 : x
  2. Step 2: Convert to fraction form
    553.36/767.27 = 524.20/x
  3. Step 3: Cross multiply
    553.36x = 767.27 × 524.20
  4. Step 4: Simplify right side
    553.36x = 402,202.93
  5. Step 5: Solve for x
    x = 402,202.93/553.36
  6. Step 6: Final answer
    x = 726.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.