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Finding the Fourth Proportional to 774.91, 1,162.71 and 313.59

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Solution

The fourth proportional to 774.91, 1,162.71 and 313.59 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.91 : 1,162.71 = 313.59 : x
  2. Step 2: Convert to fraction form
    774.91/1,162.71 = 313.59/x
  3. Step 3: Cross multiply
    774.91x = 1,162.71 × 313.59
  4. Step 4: Simplify right side
    774.91x = 364,611.61
  5. Step 5: Solve for x
    x = 364,611.61/774.91
  6. Step 6: Final answer
    x = 470.52

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