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Finding the Fourth Proportional to 420.59, 626.74 and 393.26

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Solution

The fourth proportional to 420.59, 626.74 and 393.26 is: 586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.59 : 626.74 = 393.26 : x
  2. Step 2: Convert to fraction form
    420.59/626.74 = 393.26/x
  3. Step 3: Cross multiply
    420.59x = 626.74 × 393.26
  4. Step 4: Simplify right side
    420.59x = 246,467.66
  5. Step 5: Solve for x
    x = 246,467.66/420.59
  6. Step 6: Final answer
    x = 586.00

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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.