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Finding the Fourth Proportional to 821.86, 1,135.56 and 561.04

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Solution

The fourth proportional to 821.86, 1,135.56 and 561.04 is: 775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,135.56 = 561.04 : x
  2. Step 2: Convert to fraction form
    821.86/1,135.56 = 561.04/x
  3. Step 3: Cross multiply
    821.86x = 1,135.56 × 561.04
  4. Step 4: Simplify right side
    821.86x = 637,094.58
  5. Step 5: Solve for x
    x = 637,094.58/821.86
  6. Step 6: Final answer
    x = 775.19

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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.