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Finding the Fourth Proportional to 556.28, 767.71 and 320.27

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Solution

The fourth proportional to 556.28, 767.71 and 320.27 is: 442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.28 : 767.71 = 320.27 : x
  2. Step 2: Convert to fraction form
    556.28/767.71 = 320.27/x
  3. Step 3: Cross multiply
    556.28x = 767.71 × 320.27
  4. Step 4: Simplify right side
    556.28x = 245,874.48
  5. Step 5: Solve for x
    x = 245,874.48/556.28
  6. Step 6: Final answer
    x = 442.00

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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.