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Finding the Fourth Proportional to 941.08, 1,410.78 and 478.60

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Solution

The fourth proportional to 941.08, 1,410.78 and 478.60 is: 717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.08 : 1,410.78 = 478.60 : x
  2. Step 2: Convert to fraction form
    941.08/1,410.78 = 478.60/x
  3. Step 3: Cross multiply
    941.08x = 1,410.78 × 478.60
  4. Step 4: Simplify right side
    941.08x = 675,199.31
  5. Step 5: Solve for x
    x = 675,199.31/941.08
  6. Step 6: Final answer
    x = 717.47

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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.