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Finding the Fourth Proportional to 1,605.59, 2,214.87 and 1,080.71

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Solution

The fourth proportional to 1,605.59, 2,214.87 and 1,080.71 is: 1,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.59 : 2,214.87 = 1,080.71 : x
  2. Step 2: Convert to fraction form
    1,605.59/2,214.87 = 1,080.71/x
  3. Step 3: Cross multiply
    1,605.59x = 2,214.87 × 1,080.71
  4. Step 4: Simplify right side
    1,605.59x = 2,393,632.16
  5. Step 5: Solve for x
    x = 2,393,632.16/1,605.59
  6. Step 6: Final answer
    x = 1,490.81

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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.