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Finding the Fourth Proportional to 1,192.20, 1,641.75 and 860.06

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Solution

The fourth proportional to 1,192.20, 1,641.75 and 860.06 is: 1,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.20 : 1,641.75 = 860.06 : x
  2. Step 2: Convert to fraction form
    1,192.20/1,641.75 = 860.06/x
  3. Step 3: Cross multiply
    1,192.20x = 1,641.75 × 860.06
  4. Step 4: Simplify right side
    1,192.20x = 1,411,995.30
  5. Step 5: Solve for x
    x = 1,411,995.30/1,192.20
  6. Step 6: Final answer
    x = 1,184.36

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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.