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Finding the Fourth Proportional to 1,019.64, 1,406.75 and 621.14

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Solution

The fourth proportional to 1,019.64, 1,406.75 and 621.14 is: 856.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.64 : 1,406.75 = 621.14 : x
  2. Step 2: Convert to fraction form
    1,019.64/1,406.75 = 621.14/x
  3. Step 3: Cross multiply
    1,019.64x = 1,406.75 × 621.14
  4. Step 4: Simplify right side
    1,019.64x = 873,778.56
  5. Step 5: Solve for x
    x = 873,778.56/1,019.64
  6. Step 6: Final answer
    x = 856.95

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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.