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Finding the Fourth Proportional to 1,293.62, 1,785.20 and 704.16

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Solution

The fourth proportional to 1,293.62, 1,785.20 and 704.16 is: 971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.62 : 1,785.20 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,293.62/1,785.20 = 704.16/x
  3. Step 3: Cross multiply
    1,293.62x = 1,785.20 × 704.16
  4. Step 4: Simplify right side
    1,293.62x = 1,257,062.91
  5. Step 5: Solve for x
    x = 1,257,062.91/1,293.62
  6. Step 6: Final answer
    x = 971.74

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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.