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Finding the Fourth Proportional to 923.41, 1,384.71 and 436.11

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Solution

The fourth proportional to 923.41, 1,384.71 and 436.11 is: 653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.41 : 1,384.71 = 436.11 : x
  2. Step 2: Convert to fraction form
    923.41/1,384.71 = 436.11/x
  3. Step 3: Cross multiply
    923.41x = 1,384.71 × 436.11
  4. Step 4: Simplify right side
    923.41x = 603,885.88
  5. Step 5: Solve for x
    x = 603,885.88/923.41
  6. Step 6: Final answer
    x = 653.97

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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.