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Finding the Fourth Proportional to 556.59, 767.84 and 360.17

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Solution

The fourth proportional to 556.59, 767.84 and 360.17 is: 496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.59 : 767.84 = 360.17 : x
  2. Step 2: Convert to fraction form
    556.59/767.84 = 360.17/x
  3. Step 3: Cross multiply
    556.59x = 767.84 × 360.17
  4. Step 4: Simplify right side
    556.59x = 276,552.93
  5. Step 5: Solve for x
    x = 276,552.93/556.59
  6. Step 6: Final answer
    x = 496.87

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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.