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Finding the Fourth Proportional to 706.68, 974.28 and 444.24

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Solution

The fourth proportional to 706.68, 974.28 and 444.24 is: 612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 974.28 = 444.24 : x
  2. Step 2: Convert to fraction form
    706.68/974.28 = 444.24/x
  3. Step 3: Cross multiply
    706.68x = 974.28 × 444.24
  4. Step 4: Simplify right side
    706.68x = 432,814.15
  5. Step 5: Solve for x
    x = 432,814.15/706.68
  6. Step 6: Final answer
    x = 612.46

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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.