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Finding the Fourth Proportional to 941.31, 1,410.42 and 478.62

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Solution

The fourth proportional to 941.31, 1,410.42 and 478.62 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.31 : 1,410.42 = 478.62 : x
  2. Step 2: Convert to fraction form
    941.31/1,410.42 = 478.62/x
  3. Step 3: Cross multiply
    941.31x = 1,410.42 × 478.62
  4. Step 4: Simplify right side
    941.31x = 675,055.22
  5. Step 5: Solve for x
    x = 675,055.22/941.31
  6. Step 6: Final answer
    x = 717.14

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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.