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Finding the Fourth Proportional to 1,071.36, 1,599.12 and 1,063.80

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Solution

The fourth proportional to 1,071.36, 1,599.12 and 1,063.80 is: 1,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.36 : 1,599.12 = 1,063.80 : x
  2. Step 2: Convert to fraction form
    1,071.36/1,599.12 = 1,063.80/x
  3. Step 3: Cross multiply
    1,071.36x = 1,599.12 × 1,063.80
  4. Step 4: Simplify right side
    1,071.36x = 1,701,143.86
  5. Step 5: Solve for x
    x = 1,701,143.86/1,071.36
  6. Step 6: Final answer
    x = 1,587.84

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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.