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Finding the Fourth Proportional to 822.10, 1,125.41 and 816.24

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Solution

The fourth proportional to 822.10, 1,125.41 and 816.24 is: 1,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.10 : 1,125.41 = 816.24 : x
  2. Step 2: Convert to fraction form
    822.10/1,125.41 = 816.24/x
  3. Step 3: Cross multiply
    822.10x = 1,125.41 × 816.24
  4. Step 4: Simplify right side
    822.10x = 918,604.66
  5. Step 5: Solve for x
    x = 918,604.66/822.10
  6. Step 6: Final answer
    x = 1,117.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.