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Finding the Fourth Proportional to 1,018.68, 1,406.42 and 700.17

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Solution

The fourth proportional to 1,018.68, 1,406.42 and 700.17 is: 966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.68 : 1,406.42 = 700.17 : x
  2. Step 2: Convert to fraction form
    1,018.68/1,406.42 = 700.17/x
  3. Step 3: Cross multiply
    1,018.68x = 1,406.42 × 700.17
  4. Step 4: Simplify right side
    1,018.68x = 984,734.84
  5. Step 5: Solve for x
    x = 984,734.84/1,018.68
  6. Step 6: Final answer
    x = 966.68

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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.