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Finding the Fourth Proportional to 620.79, 931.13 and 209.92

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Solution

The fourth proportional to 620.79, 931.13 and 209.92 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.79 : 931.13 = 209.92 : x
  2. Step 2: Convert to fraction form
    620.79/931.13 = 209.92/x
  3. Step 3: Cross multiply
    620.79x = 931.13 × 209.92
  4. Step 4: Simplify right side
    620.79x = 195,457.63
  5. Step 5: Solve for x
    x = 195,457.63/620.79
  6. Step 6: Final answer
    x = 314.85

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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.