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Finding the Fourth Proportional to 1,016.59, 1,401.70 and 623.27

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Solution

The fourth proportional to 1,016.59, 1,401.70 and 623.27 is: 859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.59 : 1,401.70 = 623.27 : x
  2. Step 2: Convert to fraction form
    1,016.59/1,401.70 = 623.27/x
  3. Step 3: Cross multiply
    1,016.59x = 1,401.70 × 623.27
  4. Step 4: Simplify right side
    1,016.59x = 873,637.56
  5. Step 5: Solve for x
    x = 873,637.56/1,016.59
  6. Step 6: Final answer
    x = 859.38

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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.