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Finding the Fourth Proportional to 860.60, 1,188.60 and 580.35

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Solution

The fourth proportional to 860.60, 1,188.60 and 580.35 is: 801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.60 : 1,188.60 = 580.35 : x
  2. Step 2: Convert to fraction form
    860.60/1,188.60 = 580.35/x
  3. Step 3: Cross multiply
    860.60x = 1,188.60 × 580.35
  4. Step 4: Simplify right side
    860.60x = 689,801.04
  5. Step 5: Solve for x
    x = 689,801.04/860.60
  6. Step 6: Final answer
    x = 801.54

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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.