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Finding the Fourth Proportional to 654.48, 902.93 and 421.74

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Solution

The fourth proportional to 654.48, 902.93 and 421.74 is: 581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.48 : 902.93 = 421.74 : x
  2. Step 2: Convert to fraction form
    654.48/902.93 = 421.74/x
  3. Step 3: Cross multiply
    654.48x = 902.93 × 421.74
  4. Step 4: Simplify right side
    654.48x = 380,799.59
  5. Step 5: Solve for x
    x = 380,799.59/654.48
  6. Step 6: Final answer
    x = 581.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.