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Finding the Fourth Proportional to 654.60, 977.95 and 421.59

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Solution

The fourth proportional to 654.60, 977.95 and 421.59 is: 629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.60 : 977.95 = 421.59 : x
  2. Step 2: Convert to fraction form
    654.60/977.95 = 421.59/x
  3. Step 3: Cross multiply
    654.60x = 977.95 × 421.59
  4. Step 4: Simplify right side
    654.60x = 412,294.28
  5. Step 5: Solve for x
    x = 412,294.28/654.60
  6. Step 6: Final answer
    x = 629.84

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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.