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Finding the Fourth Proportional to 2,459.05, 3,688.67 and 815.74

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Solution

The fourth proportional to 2,459.05, 3,688.67 and 815.74 is: 1,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.05 : 3,688.67 = 815.74 : x
  2. Step 2: Convert to fraction form
    2,459.05/3,688.67 = 815.74/x
  3. Step 3: Cross multiply
    2,459.05x = 3,688.67 × 815.74
  4. Step 4: Simplify right side
    2,459.05x = 3,008,995.67
  5. Step 5: Solve for x
    x = 3,008,995.67/2,459.05
  6. Step 6: Final answer
    x = 1,223.64

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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.