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Finding the Fourth Proportional to 525.63, 725.39 and 292.75

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Solution

The fourth proportional to 525.63, 725.39 and 292.75 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.63 : 725.39 = 292.75 : x
  2. Step 2: Convert to fraction form
    525.63/725.39 = 292.75/x
  3. Step 3: Cross multiply
    525.63x = 725.39 × 292.75
  4. Step 4: Simplify right side
    525.63x = 212,357.92
  5. Step 5: Solve for x
    x = 212,357.92/525.63
  6. Step 6: Final answer
    x = 404.01

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1.5x scale

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.