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Finding the Fourth Proportional to 471.46, 703.16 and 414.06

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Solution

The fourth proportional to 471.46, 703.16 and 414.06 is: 617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.46 : 703.16 = 414.06 : x
  2. Step 2: Convert to fraction form
    471.46/703.16 = 414.06/x
  3. Step 3: Cross multiply
    471.46x = 703.16 × 414.06
  4. Step 4: Simplify right side
    471.46x = 291,150.43
  5. Step 5: Solve for x
    x = 291,150.43/471.46
  6. Step 6: Final answer
    x = 617.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.