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Finding the Fourth Proportional to 525.42, 725.04 and 292.59

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Solution

The fourth proportional to 525.42, 725.04 and 292.59 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.42 : 725.04 = 292.59 : x
  2. Step 2: Convert to fraction form
    525.42/725.04 = 292.59/x
  3. Step 3: Cross multiply
    525.42x = 725.04 × 292.59
  4. Step 4: Simplify right side
    525.42x = 212,139.45
  5. Step 5: Solve for x
    x = 212,139.45/525.42
  6. Step 6: Final answer
    x = 403.75

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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.