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Finding the Fourth Proportional to 420.54, 626.82 and 397.02

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Solution

The fourth proportional to 420.54, 626.82 and 397.02 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.54 : 626.82 = 397.02 : x
  2. Step 2: Convert to fraction form
    420.54/626.82 = 397.02/x
  3. Step 3: Cross multiply
    420.54x = 626.82 × 397.02
  4. Step 4: Simplify right side
    420.54x = 248,860.08
  5. Step 5: Solve for x
    x = 248,860.08/420.54
  6. Step 6: Final answer
    x = 591.76

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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.