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Finding the Fourth Proportional to 840.69, 1,261.44 and 354.08

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Solution

The fourth proportional to 840.69, 1,261.44 and 354.08 is: 531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.69 : 1,261.44 = 354.08 : x
  2. Step 2: Convert to fraction form
    840.69/1,261.44 = 354.08/x
  3. Step 3: Cross multiply
    840.69x = 1,261.44 × 354.08
  4. Step 4: Simplify right side
    840.69x = 446,653.83
  5. Step 5: Solve for x
    x = 446,653.83/840.69
  6. Step 6: Final answer
    x = 531.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.