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Finding the Fourth Proportional to 531.24, 796.20 and 287.40

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Solution

The fourth proportional to 531.24, 796.20 and 287.40 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.24 : 796.20 = 287.40 : x
  2. Step 2: Convert to fraction form
    531.24/796.20 = 287.40/x
  3. Step 3: Cross multiply
    531.24x = 796.20 × 287.40
  4. Step 4: Simplify right side
    531.24x = 228,827.88
  5. Step 5: Solve for x
    x = 228,827.88/531.24
  6. Step 6: Final answer
    x = 430.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.