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Finding the Fourth Proportional to 923.24, 1,384.49 and 429.64

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Solution

The fourth proportional to 923.24, 1,384.49 and 429.64 is: 644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.24 : 1,384.49 = 429.64 : x
  2. Step 2: Convert to fraction form
    923.24/1,384.49 = 429.64/x
  3. Step 3: Cross multiply
    923.24x = 1,384.49 × 429.64
  4. Step 4: Simplify right side
    923.24x = 594,829.90
  5. Step 5: Solve for x
    x = 594,829.90/923.24
  6. Step 6: Final answer
    x = 644.28

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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.