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Finding the Fourth Proportional to 923.56, 1,385.39 and 455.47

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Solution

The fourth proportional to 923.56, 1,385.39 and 455.47 is: 683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.56 : 1,385.39 = 455.47 : x
  2. Step 2: Convert to fraction form
    923.56/1,385.39 = 455.47/x
  3. Step 3: Cross multiply
    923.56x = 1,385.39 × 455.47
  4. Step 4: Simplify right side
    923.56x = 631,001.26
  5. Step 5: Solve for x
    x = 631,001.26/923.56
  6. Step 6: Final answer
    x = 683.23

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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.