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Finding the Fourth Proportional to 526.06, 725.97 and 305.05

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Solution

The fourth proportional to 526.06, 725.97 and 305.05 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.06 : 725.97 = 305.05 : x
  2. Step 2: Convert to fraction form
    526.06/725.97 = 305.05/x
  3. Step 3: Cross multiply
    526.06x = 725.97 × 305.05
  4. Step 4: Simplify right side
    526.06x = 221,457.15
  5. Step 5: Solve for x
    x = 221,457.15/526.06
  6. Step 6: Final answer
    x = 420.97

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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.