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Finding the Fourth Proportional to 1,071.53, 1,478.70 and 629.48

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Solution

The fourth proportional to 1,071.53, 1,478.70 and 629.48 is: 868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.53 : 1,478.70 = 629.48 : x
  2. Step 2: Convert to fraction form
    1,071.53/1,478.70 = 629.48/x
  3. Step 3: Cross multiply
    1,071.53x = 1,478.70 × 629.48
  4. Step 4: Simplify right side
    1,071.53x = 930,812.08
  5. Step 5: Solve for x
    x = 930,812.08/1,071.53
  6. Step 6: Final answer
    x = 868.68

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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.