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Finding the Fourth Proportional to 2,210.79, 3,315.97 and 749.93

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Solution

The fourth proportional to 2,210.79, 3,315.97 and 749.93 is: 1,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.79 : 3,315.97 = 749.93 : x
  2. Step 2: Convert to fraction form
    2,210.79/3,315.97 = 749.93/x
  3. Step 3: Cross multiply
    2,210.79x = 3,315.97 × 749.93
  4. Step 4: Simplify right side
    2,210.79x = 2,486,729.74
  5. Step 5: Solve for x
    x = 2,486,729.74/2,210.79
  6. Step 6: Final answer
    x = 1,124.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.