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Finding the Fourth Proportional to 477.24, 714.29 and 419.15

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Solution

The fourth proportional to 477.24, 714.29 and 419.15 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 714.29 = 419.15 : x
  2. Step 2: Convert to fraction form
    477.24/714.29 = 419.15/x
  3. Step 3: Cross multiply
    477.24x = 714.29 × 419.15
  4. Step 4: Simplify right side
    477.24x = 299,388.99
  5. Step 5: Solve for x
    x = 299,388.99/477.24
  6. Step 6: Final answer
    x = 627.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.