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Finding the Fourth Proportional to 525.36, 725.85 and 395.22

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Solution

The fourth proportional to 525.36, 725.85 and 395.22 is: 546.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.36 : 725.85 = 395.22 : x
  2. Step 2: Convert to fraction form
    525.36/725.85 = 395.22/x
  3. Step 3: Cross multiply
    525.36x = 725.85 × 395.22
  4. Step 4: Simplify right side
    525.36x = 286,870.44
  5. Step 5: Solve for x
    x = 286,870.44/525.36
  6. Step 6: Final answer
    x = 546.05

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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.