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Finding the Fourth Proportional to 474.40, 711.60 and 421.60

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Solution

The fourth proportional to 474.40, 711.60 and 421.60 is: 632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.40 : 711.60 = 421.60 : x
  2. Step 2: Convert to fraction form
    474.40/711.60 = 421.60/x
  3. Step 3: Cross multiply
    474.40x = 711.60 × 421.60
  4. Step 4: Simplify right side
    474.40x = 300,010.56
  5. Step 5: Solve for x
    x = 300,010.56/474.40
  6. Step 6: Final answer
    x = 632.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.