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Finding the Fourth Proportional to 889.60, 1,333.92 and 478.60

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Solution

The fourth proportional to 889.60, 1,333.92 and 478.60 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.60 : 1,333.92 = 478.60 : x
  2. Step 2: Convert to fraction form
    889.60/1,333.92 = 478.60/x
  3. Step 3: Cross multiply
    889.60x = 1,333.92 × 478.60
  4. Step 4: Simplify right side
    889.60x = 638,414.11
  5. Step 5: Solve for x
    x = 638,414.11/889.60
  6. Step 6: Final answer
    x = 717.64

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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.