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Finding the Fourth Proportional to 1,564.09, 2,346.79 and 686.14

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Solution

The fourth proportional to 1,564.09, 2,346.79 and 686.14 is: 1,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.09 : 2,346.79 = 686.14 : x
  2. Step 2: Convert to fraction form
    1,564.09/2,346.79 = 686.14/x
  3. Step 3: Cross multiply
    1,564.09x = 2,346.79 × 686.14
  4. Step 4: Simplify right side
    1,564.09x = 1,610,217.30
  5. Step 5: Solve for x
    x = 1,610,217.30/1,564.09
  6. Step 6: Final answer
    x = 1,029.49

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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.