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Finding the Fourth Proportional to 1,071.66, 1,478.88 and 629.88

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Solution

The fourth proportional to 1,071.66, 1,478.88 and 629.88 is: 869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.66 : 1,478.88 = 629.88 : x
  2. Step 2: Convert to fraction form
    1,071.66/1,478.88 = 629.88/x
  3. Step 3: Cross multiply
    1,071.66x = 1,478.88 × 629.88
  4. Step 4: Simplify right side
    1,071.66x = 931,516.93
  5. Step 5: Solve for x
    x = 931,516.93/1,071.66
  6. Step 6: Final answer
    x = 869.23

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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.