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Finding the Fourth Proportional to 531.72, 797.04 and 257.64

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Solution

The fourth proportional to 531.72, 797.04 and 257.64 is: 386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 797.04 = 257.64 : x
  2. Step 2: Convert to fraction form
    531.72/797.04 = 257.64/x
  3. Step 3: Cross multiply
    531.72x = 797.04 × 257.64
  4. Step 4: Simplify right side
    531.72x = 205,349.39
  5. Step 5: Solve for x
    x = 205,349.39/531.72
  6. Step 6: Final answer
    x = 386.20

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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.