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Finding the Fourth Proportional to 469.20, 701.64 and 401.58

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Solution

The fourth proportional to 469.20, 701.64 and 401.58 is: 600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.20 : 701.64 = 401.58 : x
  2. Step 2: Convert to fraction form
    469.20/701.64 = 401.58/x
  3. Step 3: Cross multiply
    469.20x = 701.64 × 401.58
  4. Step 4: Simplify right side
    469.20x = 281,764.59
  5. Step 5: Solve for x
    x = 281,764.59/469.20
  6. Step 6: Final answer
    x = 600.52

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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.