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Finding the Fourth Proportional to 840.44, 1,259.28 and 511.47

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Solution

The fourth proportional to 840.44, 1,259.28 and 511.47 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.44 : 1,259.28 = 511.47 : x
  2. Step 2: Convert to fraction form
    840.44/1,259.28 = 511.47/x
  3. Step 3: Cross multiply
    840.44x = 1,259.28 × 511.47
  4. Step 4: Simplify right side
    840.44x = 644,083.94
  5. Step 5: Solve for x
    x = 644,083.94/840.44
  6. Step 6: Final answer
    x = 766.36

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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.