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Finding the Fourth Proportional to 821.68, 1,133.58 and 490.03

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Solution

The fourth proportional to 821.68, 1,133.58 and 490.03 is: 676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.68 : 1,133.58 = 490.03 : x
  2. Step 2: Convert to fraction form
    821.68/1,133.58 = 490.03/x
  3. Step 3: Cross multiply
    821.68x = 1,133.58 × 490.03
  4. Step 4: Simplify right side
    821.68x = 555,488.21
  5. Step 5: Solve for x
    x = 555,488.21/821.68
  6. Step 6: Final answer
    x = 676.04

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Double scale
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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.