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Finding the Fourth Proportional to 1,661.60, 2,491.40 and 687.18

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Solution

The fourth proportional to 1,661.60, 2,491.40 and 687.18 is: 1,030.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.60 : 2,491.40 = 687.18 : x
  2. Step 2: Convert to fraction form
    1,661.60/2,491.40 = 687.18/x
  3. Step 3: Cross multiply
    1,661.60x = 2,491.40 × 687.18
  4. Step 4: Simplify right side
    1,661.60x = 1,712,040.25
  5. Step 5: Solve for x
    x = 1,712,040.25/1,661.60
  6. Step 6: Final answer
    x = 1,030.36

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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.