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Finding the Fourth Proportional to 1,071.06, 1,478.01 and 629.01

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Solution

The fourth proportional to 1,071.06, 1,478.01 and 629.01 is: 868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.06 : 1,478.01 = 629.01 : x
  2. Step 2: Convert to fraction form
    1,071.06/1,478.01 = 629.01/x
  3. Step 3: Cross multiply
    1,071.06x = 1,478.01 × 629.01
  4. Step 4: Simplify right side
    1,071.06x = 929,683.07
  5. Step 5: Solve for x
    x = 929,683.07/1,071.06
  6. Step 6: Final answer
    x = 868.00

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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.