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Finding the Fourth Proportional to 525.87, 725.10 and 336.55

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Solution

The fourth proportional to 525.87, 725.10 and 336.55 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 725.10 = 336.55 : x
  2. Step 2: Convert to fraction form
    525.87/725.10 = 336.55/x
  3. Step 3: Cross multiply
    525.87x = 725.10 × 336.55
  4. Step 4: Simplify right side
    525.87x = 244,032.41
  5. Step 5: Solve for x
    x = 244,032.41/525.87
  6. Step 6: Final answer
    x = 464.05

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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.