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Finding the Fourth Proportional to 1,610.92, 2,415 and 686.34

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Solution

The fourth proportional to 1,610.92, 2,415 and 686.34 is: 1,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.92 : 2,415 = 686.34 : x
  2. Step 2: Convert to fraction form
    1,610.92/2,415 = 686.34/x
  3. Step 3: Cross multiply
    1,610.92x = 2,415 × 686.34
  4. Step 4: Simplify right side
    1,610.92x = 1,657,511.10
  5. Step 5: Solve for x
    x = 1,657,511.10/1,610.92
  6. Step 6: Final answer
    x = 1,028.92

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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.