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Finding the Fourth Proportional to 821.21, 1,132.58 and 673.58

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Solution

The fourth proportional to 821.21, 1,132.58 and 673.58 is: 928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.21 : 1,132.58 = 673.58 : x
  2. Step 2: Convert to fraction form
    821.21/1,132.58 = 673.58/x
  3. Step 3: Cross multiply
    821.21x = 1,132.58 × 673.58
  4. Step 4: Simplify right side
    821.21x = 762,887.75
  5. Step 5: Solve for x
    x = 762,887.75/821.21
  6. Step 6: Final answer
    x = 928.99

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1.5x scale

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.