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Finding the Fourth Proportional to 526.72, 726.88 and 290.70

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Solution

The fourth proportional to 526.72, 726.88 and 290.70 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.72 : 726.88 = 290.70 : x
  2. Step 2: Convert to fraction form
    526.72/726.88 = 290.70/x
  3. Step 3: Cross multiply
    526.72x = 726.88 × 290.70
  4. Step 4: Simplify right side
    526.72x = 211,304.02
  5. Step 5: Solve for x
    x = 211,304.02/526.72
  6. Step 6: Final answer
    x = 401.17

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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.