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Finding the Fourth Proportional to 468.50, 646.70 and 419.29

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Solution

The fourth proportional to 468.50, 646.70 and 419.29 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 646.70 = 419.29 : x
  2. Step 2: Convert to fraction form
    468.50/646.70 = 419.29/x
  3. Step 3: Cross multiply
    468.50x = 646.70 × 419.29
  4. Step 4: Simplify right side
    468.50x = 271,152.66
  5. Step 5: Solve for x
    x = 271,152.66/468.50
  6. Step 6: Final answer
    x = 578.77

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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.