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Finding the Fourth Proportional to 840.36, 1,159.67 and 467.39

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Solution

The fourth proportional to 840.36, 1,159.67 and 467.39 is: 644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,159.67 = 467.39 : x
  2. Step 2: Convert to fraction form
    840.36/1,159.67 = 467.39/x
  3. Step 3: Cross multiply
    840.36x = 1,159.67 × 467.39
  4. Step 4: Simplify right side
    840.36x = 542,010.03
  5. Step 5: Solve for x
    x = 542,010.03/840.36
  6. Step 6: Final answer
    x = 644.97

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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.