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Finding the Fourth Proportional to 556.71, 767.52 and 359.88

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Solution

The fourth proportional to 556.71, 767.52 and 359.88 is: 496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.71 : 767.52 = 359.88 : x
  2. Step 2: Convert to fraction form
    556.71/767.52 = 359.88/x
  3. Step 3: Cross multiply
    556.71x = 767.52 × 359.88
  4. Step 4: Simplify right side
    556.71x = 276,215.10
  5. Step 5: Solve for x
    x = 276,215.10/556.71
  6. Step 6: Final answer
    x = 496.16

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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.