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Finding the Fourth Proportional to 419.60, 578.63 and 336.47

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Solution

The fourth proportional to 419.60, 578.63 and 336.47 is: 463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 578.63 = 336.47 : x
  2. Step 2: Convert to fraction form
    419.60/578.63 = 336.47/x
  3. Step 3: Cross multiply
    419.60x = 578.63 × 336.47
  4. Step 4: Simplify right side
    419.60x = 194,687.06
  5. Step 5: Solve for x
    x = 194,687.06/419.60
  6. Step 6: Final answer
    x = 463.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.