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Finding the Fourth Proportional to 526.03, 725.90 and 304.97

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Solution

The fourth proportional to 526.03, 725.90 and 304.97 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.03 : 725.90 = 304.97 : x
  2. Step 2: Convert to fraction form
    526.03/725.90 = 304.97/x
  3. Step 3: Cross multiply
    526.03x = 725.90 × 304.97
  4. Step 4: Simplify right side
    526.03x = 221,372.57
  5. Step 5: Solve for x
    x = 221,372.57/526.03
  6. Step 6: Final answer
    x = 420.84

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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.