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Finding the Fourth Proportional to 1,079.10, 1,489.23 and 687.06

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Solution

The fourth proportional to 1,079.10, 1,489.23 and 687.06 is: 948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.10 : 1,489.23 = 687.06 : x
  2. Step 2: Convert to fraction form
    1,079.10/1,489.23 = 687.06/x
  3. Step 3: Cross multiply
    1,079.10x = 1,489.23 × 687.06
  4. Step 4: Simplify right side
    1,079.10x = 1,023,190.36
  5. Step 5: Solve for x
    x = 1,023,190.36/1,079.10
  6. Step 6: Final answer
    x = 948.19

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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.