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Finding the Fourth Proportional to 1,101.15, 1,650.98 and 580.60

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Solution

The fourth proportional to 1,101.15, 1,650.98 and 580.60 is: 870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.15 : 1,650.98 = 580.60 : x
  2. Step 2: Convert to fraction form
    1,101.15/1,650.98 = 580.60/x
  3. Step 3: Cross multiply
    1,101.15x = 1,650.98 × 580.60
  4. Step 4: Simplify right side
    1,101.15x = 958,558.99
  5. Step 5: Solve for x
    x = 958,558.99/1,101.15
  6. Step 6: Final answer
    x = 870.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.