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Finding the Fourth Proportional to 822.18, 1,134.90 and 625.35

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Solution

The fourth proportional to 822.18, 1,134.90 and 625.35 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.18 : 1,134.90 = 625.35 : x
  2. Step 2: Convert to fraction form
    822.18/1,134.90 = 625.35/x
  3. Step 3: Cross multiply
    822.18x = 1,134.90 × 625.35
  4. Step 4: Simplify right side
    822.18x = 709,709.72
  5. Step 5: Solve for x
    x = 709,709.72/822.18
  6. Step 6: Final answer
    x = 863.20

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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.