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Finding the Fourth Proportional to 840.88, 1,160.46 and 579.04

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Solution

The fourth proportional to 840.88, 1,160.46 and 579.04 is: 799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.88 : 1,160.46 = 579.04 : x
  2. Step 2: Convert to fraction form
    840.88/1,160.46 = 579.04/x
  3. Step 3: Cross multiply
    840.88x = 1,160.46 × 579.04
  4. Step 4: Simplify right side
    840.88x = 671,952.76
  5. Step 5: Solve for x
    x = 671,952.76/840.88
  6. Step 6: Final answer
    x = 799.11

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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.