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Finding the Fourth Proportional to 1,099.95, 1,650.57 and 407.11

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Solution

The fourth proportional to 1,099.95, 1,650.57 and 407.11 is: 610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.95 : 1,650.57 = 407.11 : x
  2. Step 2: Convert to fraction form
    1,099.95/1,650.57 = 407.11/x
  3. Step 3: Cross multiply
    1,099.95x = 1,650.57 × 407.11
  4. Step 4: Simplify right side
    1,099.95x = 671,959.43
  5. Step 5: Solve for x
    x = 671,959.43/1,099.95
  6. Step 6: Final answer
    x = 610.90

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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.