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Finding the Fourth Proportional to 420, 626.56 and 405.04

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Solution

The fourth proportional to 420, 626.56 and 405.04 is: 604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 626.56 = 405.04 : x
  2. Step 2: Convert to fraction form
    420/626.56 = 405.04/x
  3. Step 3: Cross multiply
    420x = 626.56 × 405.04
  4. Step 4: Simplify right side
    420x = 253,781.86
  5. Step 5: Solve for x
    x = 253,781.86/420
  6. Step 6: Final answer
    x = 604.24

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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.