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Finding the Fourth Proportional to 672.77, 1,010.14 and 380.84

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Solution

The fourth proportional to 672.77, 1,010.14 and 380.84 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.77 : 1,010.14 = 380.84 : x
  2. Step 2: Convert to fraction form
    672.77/1,010.14 = 380.84/x
  3. Step 3: Cross multiply
    672.77x = 1,010.14 × 380.84
  4. Step 4: Simplify right side
    672.77x = 384,695.71
  5. Step 5: Solve for x
    x = 384,695.71/672.77
  6. Step 6: Final answer
    x = 571.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.