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Finding the Fourth Proportional to 1,192.35, 1,643.70 and 842.43

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Solution

The fourth proportional to 1,192.35, 1,643.70 and 842.43 is: 1,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.35 : 1,643.70 = 842.43 : x
  2. Step 2: Convert to fraction form
    1,192.35/1,643.70 = 842.43/x
  3. Step 3: Cross multiply
    1,192.35x = 1,643.70 × 842.43
  4. Step 4: Simplify right side
    1,192.35x = 1,384,702.19
  5. Step 5: Solve for x
    x = 1,384,702.19/1,192.35
  6. Step 6: Final answer
    x = 1,161.32

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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.