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Finding the Fourth Proportional to 556.64, 767.76 and 382.28

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Solution

The fourth proportional to 556.64, 767.76 and 382.28 is: 527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 767.76 = 382.28 : x
  2. Step 2: Convert to fraction form
    556.64/767.76 = 382.28/x
  3. Step 3: Cross multiply
    556.64x = 767.76 × 382.28
  4. Step 4: Simplify right side
    556.64x = 293,499.29
  5. Step 5: Solve for x
    x = 293,499.29/556.64
  6. Step 6: Final answer
    x = 527.27

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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.