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Finding the Fourth Proportional to 1,093, 1,639.96 and 476.40

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Solution

The fourth proportional to 1,093, 1,639.96 and 476.40 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093 : 1,639.96 = 476.40 : x
  2. Step 2: Convert to fraction form
    1,093/1,639.96 = 476.40/x
  3. Step 3: Cross multiply
    1,093x = 1,639.96 × 476.40
  4. Step 4: Simplify right side
    1,093x = 781,276.94
  5. Step 5: Solve for x
    x = 781,276.94/1,093
  6. Step 6: Final answer
    x = 714.80

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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.