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Finding the Fourth Proportional to 1,066.03, 1,471.37 and 672.98

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Solution

The fourth proportional to 1,066.03, 1,471.37 and 672.98 is: 928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.03 : 1,471.37 = 672.98 : x
  2. Step 2: Convert to fraction form
    1,066.03/1,471.37 = 672.98/x
  3. Step 3: Cross multiply
    1,066.03x = 1,471.37 × 672.98
  4. Step 4: Simplify right side
    1,066.03x = 990,191.86
  5. Step 5: Solve for x
    x = 990,191.86/1,066.03
  6. Step 6: Final answer
    x = 928.86

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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.