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Finding the Fourth Proportional to 1,022.85, 1,411.66 and 624.43

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Solution

The fourth proportional to 1,022.85, 1,411.66 and 624.43 is: 861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.85 : 1,411.66 = 624.43 : x
  2. Step 2: Convert to fraction form
    1,022.85/1,411.66 = 624.43/x
  3. Step 3: Cross multiply
    1,022.85x = 1,411.66 × 624.43
  4. Step 4: Simplify right side
    1,022.85x = 881,477.90
  5. Step 5: Solve for x
    x = 881,477.90/1,022.85
  6. Step 6: Final answer
    x = 861.79

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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.