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Finding the Fourth Proportional to 923.26, 1,384.41 and 436.18

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Solution

The fourth proportional to 923.26, 1,384.41 and 436.18 is: 654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.26 : 1,384.41 = 436.18 : x
  2. Step 2: Convert to fraction form
    923.26/1,384.41 = 436.18/x
  3. Step 3: Cross multiply
    923.26x = 1,384.41 × 436.18
  4. Step 4: Simplify right side
    923.26x = 603,851.95
  5. Step 5: Solve for x
    x = 603,851.95/923.26
  6. Step 6: Final answer
    x = 654.04

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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.