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Finding the Fourth Proportional to 551.04, 759.57 and 419.82

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Solution

The fourth proportional to 551.04, 759.57 and 419.82 is: 578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.04 : 759.57 = 419.82 : x
  2. Step 2: Convert to fraction form
    551.04/759.57 = 419.82/x
  3. Step 3: Cross multiply
    551.04x = 759.57 × 419.82
  4. Step 4: Simplify right side
    551.04x = 318,882.68
  5. Step 5: Solve for x
    x = 318,882.68/551.04
  6. Step 6: Final answer
    x = 578.69

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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.