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Finding the Fourth Proportional to 620.12, 929.72 and 534.46

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Solution

The fourth proportional to 620.12, 929.72 and 534.46 is: 801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.12 : 929.72 = 534.46 : x
  2. Step 2: Convert to fraction form
    620.12/929.72 = 534.46/x
  3. Step 3: Cross multiply
    620.12x = 929.72 × 534.46
  4. Step 4: Simplify right side
    620.12x = 496,898.15
  5. Step 5: Solve for x
    x = 496,898.15/620.12
  6. Step 6: Final answer
    x = 801.29

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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.