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Finding the Fourth Proportional to 526.78, 726.97 and 290.74

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Solution

The fourth proportional to 526.78, 726.97 and 290.74 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 726.97 = 290.74 : x
  2. Step 2: Convert to fraction form
    526.78/726.97 = 290.74/x
  3. Step 3: Cross multiply
    526.78x = 726.97 × 290.74
  4. Step 4: Simplify right side
    526.78x = 211,358.01
  5. Step 5: Solve for x
    x = 211,358.01/526.78
  6. Step 6: Final answer
    x = 401.22

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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.