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Finding the Fourth Proportional to 1,246.65, 1,720.40 and 687.14

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Solution

The fourth proportional to 1,246.65, 1,720.40 and 687.14 is: 948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.65 : 1,720.40 = 687.14 : x
  2. Step 2: Convert to fraction form
    1,246.65/1,720.40 = 687.14/x
  3. Step 3: Cross multiply
    1,246.65x = 1,720.40 × 687.14
  4. Step 4: Simplify right side
    1,246.65x = 1,182,155.66
  5. Step 5: Solve for x
    x = 1,182,155.66/1,246.65
  6. Step 6: Final answer
    x = 948.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.