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Finding the Fourth Proportional to 620.49, 931.34 and 472.87

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Solution

The fourth proportional to 620.49, 931.34 and 472.87 is: 709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 931.34 = 472.87 : x
  2. Step 2: Convert to fraction form
    620.49/931.34 = 472.87/x
  3. Step 3: Cross multiply
    620.49x = 931.34 × 472.87
  4. Step 4: Simplify right side
    620.49x = 440,398.09
  5. Step 5: Solve for x
    x = 440,398.09/620.49
  6. Step 6: Final answer
    x = 709.76

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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.