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Finding the Fourth Proportional to 1,673.65, 2,509.54 and 686.19

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Solution

The fourth proportional to 1,673.65, 2,509.54 and 686.19 is: 1,028.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.65 : 2,509.54 = 686.19 : x
  2. Step 2: Convert to fraction form
    1,673.65/2,509.54 = 686.19/x
  3. Step 3: Cross multiply
    1,673.65x = 2,509.54 × 686.19
  4. Step 4: Simplify right side
    1,673.65x = 1,722,028.95
  5. Step 5: Solve for x
    x = 1,722,028.95/1,673.65
  6. Step 6: Final answer
    x = 1,028.91

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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.