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Finding the Fourth Proportional to 1,176.08, 1,623.14 and 672.11

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Solution

The fourth proportional to 1,176.08, 1,623.14 and 672.11 is: 927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.08 : 1,623.14 = 672.11 : x
  2. Step 2: Convert to fraction form
    1,176.08/1,623.14 = 672.11/x
  3. Step 3: Cross multiply
    1,176.08x = 1,623.14 × 672.11
  4. Step 4: Simplify right side
    1,176.08x = 1,090,928.63
  5. Step 5: Solve for x
    x = 1,090,928.63/1,176.08
  6. Step 6: Final answer
    x = 927.60

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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.