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Finding the Fourth Proportional to 1,293.57, 1,784.97 and 874.83

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Solution

The fourth proportional to 1,293.57, 1,784.97 and 874.83 is: 1,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.57 : 1,784.97 = 874.83 : x
  2. Step 2: Convert to fraction form
    1,293.57/1,784.97 = 874.83/x
  3. Step 3: Cross multiply
    1,293.57x = 1,784.97 × 874.83
  4. Step 4: Simplify right side
    1,293.57x = 1,561,545.31
  5. Step 5: Solve for x
    x = 1,561,545.31/1,293.57
  6. Step 6: Final answer
    x = 1,207.16

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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.