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Finding the Fourth Proportional to 525.21, 724.78 and 289.16

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Solution

The fourth proportional to 525.21, 724.78 and 289.16 is: 399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.21 : 724.78 = 289.16 : x
  2. Step 2: Convert to fraction form
    525.21/724.78 = 289.16/x
  3. Step 3: Cross multiply
    525.21x = 724.78 × 289.16
  4. Step 4: Simplify right side
    525.21x = 209,577.38
  5. Step 5: Solve for x
    x = 209,577.38/525.21
  6. Step 6: Final answer
    x = 399.04

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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.