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Finding the Fourth Proportional to 1,006.72, 1,389.52 and 712.08

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Solution

The fourth proportional to 1,006.72, 1,389.52 and 712.08 is: 982.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.72 : 1,389.52 = 712.08 : x
  2. Step 2: Convert to fraction form
    1,006.72/1,389.52 = 712.08/x
  3. Step 3: Cross multiply
    1,006.72x = 1,389.52 × 712.08
  4. Step 4: Simplify right side
    1,006.72x = 989,449.40
  5. Step 5: Solve for x
    x = 989,449.40/1,006.72
  6. Step 6: Final answer
    x = 982.84

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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.