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Finding the Fourth Proportional to 821.83, 1,132.93 and 625.00

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Solution

The fourth proportional to 821.83, 1,132.93 and 625.00 is: 861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.83 : 1,132.93 = 625.00 : x
  2. Step 2: Convert to fraction form
    821.83/1,132.93 = 625.00/x
  3. Step 3: Cross multiply
    821.83x = 1,132.93 × 625.00
  4. Step 4: Simplify right side
    821.83x = 708,076.86
  5. Step 5: Solve for x
    x = 708,076.86/821.83
  6. Step 6: Final answer
    x = 861.59

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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.