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Finding the Fourth Proportional to 531.72, 798.03 and 288.45

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Solution

The fourth proportional to 531.72, 798.03 and 288.45 is: 432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.72 : 798.03 = 288.45 : x
  2. Step 2: Convert to fraction form
    531.72/798.03 = 288.45/x
  3. Step 3: Cross multiply
    531.72x = 798.03 × 288.45
  4. Step 4: Simplify right side
    531.72x = 230,191.75
  5. Step 5: Solve for x
    x = 230,191.75/531.72
  6. Step 6: Final answer
    x = 432.92

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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.