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Finding the Fourth Proportional to 795.60, 1,197.90 and 579.60

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Solution

The fourth proportional to 795.60, 1,197.90 and 579.60 is: 872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,197.90 = 579.60 : x
  2. Step 2: Convert to fraction form
    795.60/1,197.90 = 579.60/x
  3. Step 3: Cross multiply
    795.60x = 1,197.90 × 579.60
  4. Step 4: Simplify right side
    795.60x = 694,302.84
  5. Step 5: Solve for x
    x = 694,302.84/795.60
  6. Step 6: Final answer
    x = 872.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.