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Finding the Fourth Proportional to 420.32, 626.14 and 393.74

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Solution

The fourth proportional to 420.32, 626.14 and 393.74 is: 586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.32 : 626.14 = 393.74 : x
  2. Step 2: Convert to fraction form
    420.32/626.14 = 393.74/x
  3. Step 3: Cross multiply
    420.32x = 626.14 × 393.74
  4. Step 4: Simplify right side
    420.32x = 246,536.36
  5. Step 5: Solve for x
    x = 246,536.36/420.32
  6. Step 6: Final answer
    x = 586.54

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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.