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Finding the Fourth Proportional to 764.93, 1,146.43 and 374.61

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Solution

The fourth proportional to 764.93, 1,146.43 and 374.61 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.93 : 1,146.43 = 374.61 : x
  2. Step 2: Convert to fraction form
    764.93/1,146.43 = 374.61/x
  3. Step 3: Cross multiply
    764.93x = 1,146.43 × 374.61
  4. Step 4: Simplify right side
    764.93x = 429,463.21
  5. Step 5: Solve for x
    x = 429,463.21/764.93
  6. Step 6: Final answer
    x = 561.44

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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.