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Finding the Fourth Proportional to 531.82, 794.06 and 499.03

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Solution

The fourth proportional to 531.82, 794.06 and 499.03 is: 745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 794.06 = 499.03 : x
  2. Step 2: Convert to fraction form
    531.82/794.06 = 499.03/x
  3. Step 3: Cross multiply
    531.82x = 794.06 × 499.03
  4. Step 4: Simplify right side
    531.82x = 396,259.76
  5. Step 5: Solve for x
    x = 396,259.76/531.82
  6. Step 6: Final answer
    x = 745.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.