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Finding the Fourth Proportional to 444.94, 616.51 and 434.86

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Solution

The fourth proportional to 444.94, 616.51 and 434.86 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.94 : 616.51 = 434.86 : x
  2. Step 2: Convert to fraction form
    444.94/616.51 = 434.86/x
  3. Step 3: Cross multiply
    444.94x = 616.51 × 434.86
  4. Step 4: Simplify right side
    444.94x = 268,095.54
  5. Step 5: Solve for x
    x = 268,095.54/444.94
  6. Step 6: Final answer
    x = 602.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.