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Finding the Fourth Proportional to 923.19, 1,384.26 and 306.85

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Solution

The fourth proportional to 923.19, 1,384.26 and 306.85 is: 460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.19 : 1,384.26 = 306.85 : x
  2. Step 2: Convert to fraction form
    923.19/1,384.26 = 306.85/x
  3. Step 3: Cross multiply
    923.19x = 1,384.26 × 306.85
  4. Step 4: Simplify right side
    923.19x = 424,760.18
  5. Step 5: Solve for x
    x = 424,760.18/923.19
  6. Step 6: Final answer
    x = 460.10

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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.