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Finding the Fourth Proportional to 526.67, 726.93 and 305.75

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Solution

The fourth proportional to 526.67, 726.93 and 305.75 is: 422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.67 : 726.93 = 305.75 : x
  2. Step 2: Convert to fraction form
    526.67/726.93 = 305.75/x
  3. Step 3: Cross multiply
    526.67x = 726.93 × 305.75
  4. Step 4: Simplify right side
    526.67x = 222,258.85
  5. Step 5: Solve for x
    x = 222,258.85/526.67
  6. Step 6: Final answer
    x = 422.01

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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.