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Finding the Fourth Proportional to 450.14, 671.56 and 417.06

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Solution

The fourth proportional to 450.14, 671.56 and 417.06 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.14 : 671.56 = 417.06 : x
  2. Step 2: Convert to fraction form
    450.14/671.56 = 417.06/x
  3. Step 3: Cross multiply
    450.14x = 671.56 × 417.06
  4. Step 4: Simplify right side
    450.14x = 280,079.77
  5. Step 5: Solve for x
    x = 280,079.77/450.14
  6. Step 6: Final answer
    x = 622.21

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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.