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Finding the Fourth Proportional to 526.80, 726.96 and 290.75

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Solution

The fourth proportional to 526.80, 726.96 and 290.75 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 726.96 = 290.75 : x
  2. Step 2: Convert to fraction form
    526.80/726.96 = 290.75/x
  3. Step 3: Cross multiply
    526.80x = 726.96 × 290.75
  4. Step 4: Simplify right side
    526.80x = 211,363.62
  5. Step 5: Solve for x
    x = 211,363.62/526.80
  6. Step 6: Final answer
    x = 401.22

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1.5x scale

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.