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Finding the Fourth Proportional to 859.54, 1,283.04 and 738.58

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Solution

The fourth proportional to 859.54, 1,283.04 and 738.58 is: 1,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.54 : 1,283.04 = 738.58 : x
  2. Step 2: Convert to fraction form
    859.54/1,283.04 = 738.58/x
  3. Step 3: Cross multiply
    859.54x = 1,283.04 × 738.58
  4. Step 4: Simplify right side
    859.54x = 947,627.68
  5. Step 5: Solve for x
    x = 947,627.68/859.54
  6. Step 6: Final answer
    x = 1,102.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.