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Finding the Fourth Proportional to 474.14, 705.01 and 454.70

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Solution

The fourth proportional to 474.14, 705.01 and 454.70 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.14 : 705.01 = 454.70 : x
  2. Step 2: Convert to fraction form
    474.14/705.01 = 454.70/x
  3. Step 3: Cross multiply
    474.14x = 705.01 × 454.70
  4. Step 4: Simplify right side
    474.14x = 320,568.05
  5. Step 5: Solve for x
    x = 320,568.05/474.14
  6. Step 6: Final answer
    x = 676.10

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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.