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Finding the Fourth Proportional to 1,093.02, 1,639.84 and 476.78

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Solution

The fourth proportional to 1,093.02, 1,639.84 and 476.78 is: 715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.02 : 1,639.84 = 476.78 : x
  2. Step 2: Convert to fraction form
    1,093.02/1,639.84 = 476.78/x
  3. Step 3: Cross multiply
    1,093.02x = 1,639.84 × 476.78
  4. Step 4: Simplify right side
    1,093.02x = 781,840.53
  5. Step 5: Solve for x
    x = 781,840.53/1,093.02
  6. Step 6: Final answer
    x = 715.30

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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.