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Finding the Fourth Proportional to 985.70, 1,477.26 and 712.70

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Solution

The fourth proportional to 985.70, 1,477.26 and 712.70 is: 1,068.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.70 : 1,477.26 = 712.70 : x
  2. Step 2: Convert to fraction form
    985.70/1,477.26 = 712.70/x
  3. Step 3: Cross multiply
    985.70x = 1,477.26 × 712.70
  4. Step 4: Simplify right side
    985.70x = 1,052,843.20
  5. Step 5: Solve for x
    x = 1,052,843.20/985.70
  6. Step 6: Final answer
    x = 1,068.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.