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Finding the Fourth Proportional to 582.88, 867.68 and 556.33

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Solution

The fourth proportional to 582.88, 867.68 and 556.33 is: 828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 867.68 = 556.33 : x
  2. Step 2: Convert to fraction form
    582.88/867.68 = 556.33/x
  3. Step 3: Cross multiply
    582.88x = 867.68 × 556.33
  4. Step 4: Simplify right side
    582.88x = 482,716.41
  5. Step 5: Solve for x
    x = 482,716.41/582.88
  6. Step 6: Final answer
    x = 828.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.