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Finding the Fourth Proportional to 1,617.65, 2,230.01 and 1,144.07

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Solution

The fourth proportional to 1,617.65, 2,230.01 and 1,144.07 is: 1,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.65 : 2,230.01 = 1,144.07 : x
  2. Step 2: Convert to fraction form
    1,617.65/2,230.01 = 1,144.07/x
  3. Step 3: Cross multiply
    1,617.65x = 2,230.01 × 1,144.07
  4. Step 4: Simplify right side
    1,617.65x = 2,551,291.69
  5. Step 5: Solve for x
    x = 2,551,291.69/1,617.65
  6. Step 6: Final answer
    x = 1,577.16

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1.5x scale

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.