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Finding the Fourth Proportional to 822.07, 1,134.07 and 490.30

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Solution

The fourth proportional to 822.07, 1,134.07 and 490.30 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.07 : 1,134.07 = 490.30 : x
  2. Step 2: Convert to fraction form
    822.07/1,134.07 = 490.30/x
  3. Step 3: Cross multiply
    822.07x = 1,134.07 × 490.30
  4. Step 4: Simplify right side
    822.07x = 556,034.52
  5. Step 5: Solve for x
    x = 556,034.52/822.07
  6. Step 6: Final answer
    x = 676.38

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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.