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Finding the Fourth Proportional to 921.51, 1,382.27 and 304.98

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Solution

The fourth proportional to 921.51, 1,382.27 and 304.98 is: 457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.51 : 1,382.27 = 304.98 : x
  2. Step 2: Convert to fraction form
    921.51/1,382.27 = 304.98/x
  3. Step 3: Cross multiply
    921.51x = 1,382.27 × 304.98
  4. Step 4: Simplify right side
    921.51x = 421,563.18
  5. Step 5: Solve for x
    x = 421,563.18/921.51
  6. Step 6: Final answer
    x = 457.47

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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.