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Finding the Fourth Proportional to 412.97, 616.62 and 352.07

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Solution

The fourth proportional to 412.97, 616.62 and 352.07 is: 525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.97 : 616.62 = 352.07 : x
  2. Step 2: Convert to fraction form
    412.97/616.62 = 352.07/x
  3. Step 3: Cross multiply
    412.97x = 616.62 × 352.07
  4. Step 4: Simplify right side
    412.97x = 217,094.28
  5. Step 5: Solve for x
    x = 217,094.28/412.97
  6. Step 6: Final answer
    x = 525.69

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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.