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Finding the Fourth Proportional to 412.93, 616.96 and 405.28

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Solution

The fourth proportional to 412.93, 616.96 and 405.28 is: 605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 616.96 = 405.28 : x
  2. Step 2: Convert to fraction form
    412.93/616.96 = 405.28/x
  3. Step 3: Cross multiply
    412.93x = 616.96 × 405.28
  4. Step 4: Simplify right side
    412.93x = 250,041.55
  5. Step 5: Solve for x
    x = 250,041.55/412.93
  6. Step 6: Final answer
    x = 605.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.