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Finding the Fourth Proportional to 513.54, 706.95 and 444.56

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Solution

The fourth proportional to 513.54, 706.95 and 444.56 is: 611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 706.95 = 444.56 : x
  2. Step 2: Convert to fraction form
    513.54/706.95 = 444.56/x
  3. Step 3: Cross multiply
    513.54x = 706.95 × 444.56
  4. Step 4: Simplify right side
    513.54x = 314,278.16
  5. Step 5: Solve for x
    x = 314,278.16/513.54
  6. Step 6: Final answer
    x = 611.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.