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Finding the Fourth Proportional to 840.22, 1,159.19 and 490.78

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Solution

The fourth proportional to 840.22, 1,159.19 and 490.78 is: 677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.22 : 1,159.19 = 490.78 : x
  2. Step 2: Convert to fraction form
    840.22/1,159.19 = 490.78/x
  3. Step 3: Cross multiply
    840.22x = 1,159.19 × 490.78
  4. Step 4: Simplify right side
    840.22x = 568,907.27
  5. Step 5: Solve for x
    x = 568,907.27/840.22
  6. Step 6: Final answer
    x = 677.09

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Half scale
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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.