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Finding the Fourth Proportional to 922.54, 1,384.83 and 512.47

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Solution

The fourth proportional to 922.54, 1,384.83 and 512.47 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.54 : 1,384.83 = 512.47 : x
  2. Step 2: Convert to fraction form
    922.54/1,384.83 = 512.47/x
  3. Step 3: Cross multiply
    922.54x = 1,384.83 × 512.47
  4. Step 4: Simplify right side
    922.54x = 709,683.83
  5. Step 5: Solve for x
    x = 709,683.83/922.54
  6. Step 6: Final answer
    x = 769.27

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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.