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Finding the Fourth Proportional to 1,107.10, 1,660.65 and 718.30

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Solution

The fourth proportional to 1,107.10, 1,660.65 and 718.30 is: 1,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.10 : 1,660.65 = 718.30 : x
  2. Step 2: Convert to fraction form
    1,107.10/1,660.65 = 718.30/x
  3. Step 3: Cross multiply
    1,107.10x = 1,660.65 × 718.30
  4. Step 4: Simplify right side
    1,107.10x = 1,192,844.90
  5. Step 5: Solve for x
    x = 1,192,844.90/1,107.10
  6. Step 6: Final answer
    x = 1,077.45

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1.5x scale

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.