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Finding the Fourth Proportional to 412.36, 616.98 and 275.74

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Solution

The fourth proportional to 412.36, 616.98 and 275.74 is: 412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 616.98 = 275.74 : x
  2. Step 2: Convert to fraction form
    412.36/616.98 = 275.74/x
  3. Step 3: Cross multiply
    412.36x = 616.98 × 275.74
  4. Step 4: Simplify right side
    412.36x = 170,126.07
  5. Step 5: Solve for x
    x = 170,126.07/412.36
  6. Step 6: Final answer
    x = 412.57

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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.