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Finding the Fourth Proportional to 525.32, 724.97 and 292.45

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Solution

The fourth proportional to 525.32, 724.97 and 292.45 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.32 : 724.97 = 292.45 : x
  2. Step 2: Convert to fraction form
    525.32/724.97 = 292.45/x
  3. Step 3: Cross multiply
    525.32x = 724.97 × 292.45
  4. Step 4: Simplify right side
    525.32x = 212,012.39
  5. Step 5: Solve for x
    x = 212,012.39/525.32
  6. Step 6: Final answer
    x = 403.59

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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.