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Finding the Fourth Proportional to 556.71, 835.46 and 268.35

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Solution

The fourth proportional to 556.71, 835.46 and 268.35 is: 402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.71 : 835.46 = 268.35 : x
  2. Step 2: Convert to fraction form
    556.71/835.46 = 268.35/x
  3. Step 3: Cross multiply
    556.71x = 835.46 × 268.35
  4. Step 4: Simplify right side
    556.71x = 224,194.35
  5. Step 5: Solve for x
    x = 224,194.35/556.71
  6. Step 6: Final answer
    x = 402.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.