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Finding the Fourth Proportional to 840.02, 1,159.04 and 640.82

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Solution

The fourth proportional to 840.02, 1,159.04 and 640.82 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.02 : 1,159.04 = 640.82 : x
  2. Step 2: Convert to fraction form
    840.02/1,159.04 = 640.82/x
  3. Step 3: Cross multiply
    840.02x = 1,159.04 × 640.82
  4. Step 4: Simplify right side
    840.02x = 742,736.01
  5. Step 5: Solve for x
    x = 742,736.01/840.02
  6. Step 6: Final answer
    x = 884.19

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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.