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Finding the Fourth Proportional to 821.80, 1,135.06 and 625

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Solution

The fourth proportional to 821.80, 1,135.06 and 625 is: 863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.80 : 1,135.06 = 625 : x
  2. Step 2: Convert to fraction form
    821.80/1,135.06 = 625/x
  3. Step 3: Cross multiply
    821.80x = 1,135.06 × 625
  4. Step 4: Simplify right side
    821.80x = 709,412.50
  5. Step 5: Solve for x
    x = 709,412.50/821.80
  6. Step 6: Final answer
    x = 863.24

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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.