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Finding the Fourth Proportional to 1,673.84, 2,509.77 and 686.36

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Solution

The fourth proportional to 1,673.84, 2,509.77 and 686.36 is: 1,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.84 : 2,509.77 = 686.36 : x
  2. Step 2: Convert to fraction form
    1,673.84/2,509.77 = 686.36/x
  3. Step 3: Cross multiply
    1,673.84x = 2,509.77 × 686.36
  4. Step 4: Simplify right side
    1,673.84x = 1,722,605.74
  5. Step 5: Solve for x
    x = 1,722,605.74/1,673.84
  6. Step 6: Final answer
    x = 1,029.13

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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.