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Finding the Fourth Proportional to 412.51, 618.61 and 350.79

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Solution

The fourth proportional to 412.51, 618.61 and 350.79 is: 526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.51 : 618.61 = 350.79 : x
  2. Step 2: Convert to fraction form
    412.51/618.61 = 350.79/x
  3. Step 3: Cross multiply
    412.51x = 618.61 × 350.79
  4. Step 4: Simplify right side
    412.51x = 216,997.35
  5. Step 5: Solve for x
    x = 216,997.35/412.51
  6. Step 6: Final answer
    x = 526.05

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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.