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Finding the Fourth Proportional to 821.84, 1,132.94 and 625.01

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Solution

The fourth proportional to 821.84, 1,132.94 and 625.01 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.84 : 1,132.94 = 625.01 : x
  2. Step 2: Convert to fraction form
    821.84/1,132.94 = 625.01/x
  3. Step 3: Cross multiply
    821.84x = 1,132.94 × 625.01
  4. Step 4: Simplify right side
    821.84x = 708,090.04
  5. Step 5: Solve for x
    x = 708,090.04/821.84
  6. Step 6: Final answer
    x = 861.60

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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.