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Finding the Fourth Proportional to 2,600.59, 3,901.01 and 652.81

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Solution

The fourth proportional to 2,600.59, 3,901.01 and 652.81 is: 979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.59 : 3,901.01 = 652.81 : x
  2. Step 2: Convert to fraction form
    2,600.59/3,901.01 = 652.81/x
  3. Step 3: Cross multiply
    2,600.59x = 3,901.01 × 652.81
  4. Step 4: Simplify right side
    2,600.59x = 2,546,615.07
  5. Step 5: Solve for x
    x = 2,546,615.07/2,600.59
  6. Step 6: Final answer
    x = 979.25

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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.