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Finding the Fourth Proportional to 1,071.86, 1,479.07 and 599.72

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Solution

The fourth proportional to 1,071.86, 1,479.07 and 599.72 is: 827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.86 : 1,479.07 = 599.72 : x
  2. Step 2: Convert to fraction form
    1,071.86/1,479.07 = 599.72/x
  3. Step 3: Cross multiply
    1,071.86x = 1,479.07 × 599.72
  4. Step 4: Simplify right side
    1,071.86x = 887,024.14
  5. Step 5: Solve for x
    x = 887,024.14/1,071.86
  6. Step 6: Final answer
    x = 827.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.