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Finding the Fourth Proportional to 822.32, 1,135.20 and 561.68

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Solution

The fourth proportional to 822.32, 1,135.20 and 561.68 is: 775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,135.20 = 561.68 : x
  2. Step 2: Convert to fraction form
    822.32/1,135.20 = 561.68/x
  3. Step 3: Cross multiply
    822.32x = 1,135.20 × 561.68
  4. Step 4: Simplify right side
    822.32x = 637,619.14
  5. Step 5: Solve for x
    x = 637,619.14/822.32
  6. Step 6: Final answer
    x = 775.39

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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.