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Finding the Fourth Proportional to 1,035.95, 1,553.67 and 411.23

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Solution

The fourth proportional to 1,035.95, 1,553.67 and 411.23 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.95 : 1,553.67 = 411.23 : x
  2. Step 2: Convert to fraction form
    1,035.95/1,553.67 = 411.23/x
  3. Step 3: Cross multiply
    1,035.95x = 1,553.67 × 411.23
  4. Step 4: Simplify right side
    1,035.95x = 638,919.60
  5. Step 5: Solve for x
    x = 638,919.60/1,035.95
  6. Step 6: Final answer
    x = 616.75

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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.