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Finding the Fourth Proportional to 654.35, 977.57 and 421.34

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Solution

The fourth proportional to 654.35, 977.57 and 421.34 is: 629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.35 : 977.57 = 421.34 : x
  2. Step 2: Convert to fraction form
    654.35/977.57 = 421.34/x
  3. Step 3: Cross multiply
    654.35x = 977.57 × 421.34
  4. Step 4: Simplify right side
    654.35x = 411,892.84
  5. Step 5: Solve for x
    x = 411,892.84/654.35
  6. Step 6: Final answer
    x = 629.47

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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.