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Finding the Fourth Proportional to 478.94, 660.30 and 419.30

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Solution

The fourth proportional to 478.94, 660.30 and 419.30 is: 578.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.94 : 660.30 = 419.30 : x
  2. Step 2: Convert to fraction form
    478.94/660.30 = 419.30/x
  3. Step 3: Cross multiply
    478.94x = 660.30 × 419.30
  4. Step 4: Simplify right side
    478.94x = 276,863.79
  5. Step 5: Solve for x
    x = 276,863.79/478.94
  6. Step 6: Final answer
    x = 578.08

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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.