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Finding the Fourth Proportional to 526.78, 726.89 and 305.68

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Solution

The fourth proportional to 526.78, 726.89 and 305.68 is: 421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 726.89 = 305.68 : x
  2. Step 2: Convert to fraction form
    526.78/726.89 = 305.68/x
  3. Step 3: Cross multiply
    526.78x = 726.89 × 305.68
  4. Step 4: Simplify right side
    526.78x = 222,195.74
  5. Step 5: Solve for x
    x = 222,195.74/526.78
  6. Step 6: Final answer
    x = 421.80

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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.