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Finding the Fourth Proportional to 471.53, 706.03 and 444.23

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Solution

The fourth proportional to 471.53, 706.03 and 444.23 is: 665.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.53 : 706.03 = 444.23 : x
  2. Step 2: Convert to fraction form
    471.53/706.03 = 444.23/x
  3. Step 3: Cross multiply
    471.53x = 706.03 × 444.23
  4. Step 4: Simplify right side
    471.53x = 313,639.71
  5. Step 5: Solve for x
    x = 313,639.71/471.53
  6. Step 6: Final answer
    x = 665.15

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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.