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Finding the Fourth Proportional to 2,457, 3,686.22 and 725.67

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Solution

The fourth proportional to 2,457, 3,686.22 and 725.67 is: 1,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,686.22 = 725.67 : x
  2. Step 2: Convert to fraction form
    2,457/3,686.22 = 725.67/x
  3. Step 3: Cross multiply
    2,457x = 3,686.22 × 725.67
  4. Step 4: Simplify right side
    2,457x = 2,674,979.27
  5. Step 5: Solve for x
    x = 2,674,979.27/2,457
  6. Step 6: Final answer
    x = 1,088.72

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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.