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Finding the Fourth Proportional to 840.03, 1,159.07 and 490.65

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Solution

The fourth proportional to 840.03, 1,159.07 and 490.65 is: 676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.03 : 1,159.07 = 490.65 : x
  2. Step 2: Convert to fraction form
    840.03/1,159.07 = 490.65/x
  3. Step 3: Cross multiply
    840.03x = 1,159.07 × 490.65
  4. Step 4: Simplify right side
    840.03x = 568,694.18
  5. Step 5: Solve for x
    x = 568,694.18/840.03
  6. Step 6: Final answer
    x = 676.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.