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Finding the Fourth Proportional to 840.26, 1,159.67 and 508.73

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Solution

The fourth proportional to 840.26, 1,159.67 and 508.73 is: 702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.26 : 1,159.67 = 508.73 : x
  2. Step 2: Convert to fraction form
    840.26/1,159.67 = 508.73/x
  3. Step 3: Cross multiply
    840.26x = 1,159.67 × 508.73
  4. Step 4: Simplify right side
    840.26x = 589,954.39
  5. Step 5: Solve for x
    x = 589,954.39/840.26
  6. Step 6: Final answer
    x = 702.11

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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.