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Finding the Fourth Proportional to 1,300.43, 1,794.87 and 858.39

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Solution

The fourth proportional to 1,300.43, 1,794.87 and 858.39 is: 1,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.43 : 1,794.87 = 858.39 : x
  2. Step 2: Convert to fraction form
    1,300.43/1,794.87 = 858.39/x
  3. Step 3: Cross multiply
    1,300.43x = 1,794.87 × 858.39
  4. Step 4: Simplify right side
    1,300.43x = 1,540,698.46
  5. Step 5: Solve for x
    x = 1,540,698.46/1,300.43
  6. Step 6: Final answer
    x = 1,184.77

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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.