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Finding the Fourth Proportional to 1,018.92, 1,406.79 and 687.23

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Solution

The fourth proportional to 1,018.92, 1,406.79 and 687.23 is: 948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.92 : 1,406.79 = 687.23 : x
  2. Step 2: Convert to fraction form
    1,018.92/1,406.79 = 687.23/x
  3. Step 3: Cross multiply
    1,018.92x = 1,406.79 × 687.23
  4. Step 4: Simplify right side
    1,018.92x = 966,781.26
  5. Step 5: Solve for x
    x = 966,781.26/1,018.92
  6. Step 6: Final answer
    x = 948.83

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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.