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Finding the Fourth Proportional to 434.70, 655.56 and 427.14

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Solution

The fourth proportional to 434.70, 655.56 and 427.14 is: 644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.70 : 655.56 = 427.14 : x
  2. Step 2: Convert to fraction form
    434.70/655.56 = 427.14/x
  3. Step 3: Cross multiply
    434.70x = 655.56 × 427.14
  4. Step 4: Simplify right side
    434.70x = 280,015.90
  5. Step 5: Solve for x
    x = 280,015.90/434.70
  6. Step 6: Final answer
    x = 644.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.