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Finding the Fourth Proportional to 1,647.78, 2,471.29 and 477.51

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Solution

The fourth proportional to 1,647.78, 2,471.29 and 477.51 is: 716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.78 : 2,471.29 = 477.51 : x
  2. Step 2: Convert to fraction form
    1,647.78/2,471.29 = 477.51/x
  3. Step 3: Cross multiply
    1,647.78x = 2,471.29 × 477.51
  4. Step 4: Simplify right side
    1,647.78x = 1,180,065.69
  5. Step 5: Solve for x
    x = 1,180,065.69/1,647.78
  6. Step 6: Final answer
    x = 716.15

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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.