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Finding the Fourth Proportional to 1,228.08, 1,694.68 and 704.16

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Solution

The fourth proportional to 1,228.08, 1,694.68 and 704.16 is: 971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.08 : 1,694.68 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,228.08/1,694.68 = 704.16/x
  3. Step 3: Cross multiply
    1,228.08x = 1,694.68 × 704.16
  4. Step 4: Simplify right side
    1,228.08x = 1,193,325.87
  5. Step 5: Solve for x
    x = 1,193,325.87/1,228.08
  6. Step 6: Final answer
    x = 971.70

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1.5x scale

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.