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Finding the Fourth Proportional to 411.95, 616.64 and 405.60

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Solution

The fourth proportional to 411.95, 616.64 and 405.60 is: 607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 616.64 = 405.60 : x
  2. Step 2: Convert to fraction form
    411.95/616.64 = 405.60/x
  3. Step 3: Cross multiply
    411.95x = 616.64 × 405.60
  4. Step 4: Simplify right side
    411.95x = 250,107.16
  5. Step 5: Solve for x
    x = 250,107.16/411.95
  6. Step 6: Final answer
    x = 607.14

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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.