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Finding the Fourth Proportional to 419.57, 578.50 and 346.06

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Solution

The fourth proportional to 419.57, 578.50 and 346.06 is: 477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.57 : 578.50 = 346.06 : x
  2. Step 2: Convert to fraction form
    419.57/578.50 = 346.06/x
  3. Step 3: Cross multiply
    419.57x = 578.50 × 346.06
  4. Step 4: Simplify right side
    419.57x = 200,195.71
  5. Step 5: Solve for x
    x = 200,195.71/419.57
  6. Step 6: Final answer
    x = 477.14

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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.