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Finding the Fourth Proportional to 920.63, 1,270.46 and 506.63

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Solution

The fourth proportional to 920.63, 1,270.46 and 506.63 is: 699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.63 : 1,270.46 = 506.63 : x
  2. Step 2: Convert to fraction form
    920.63/1,270.46 = 506.63/x
  3. Step 3: Cross multiply
    920.63x = 1,270.46 × 506.63
  4. Step 4: Simplify right side
    920.63x = 643,648.06
  5. Step 5: Solve for x
    x = 643,648.06/920.63
  6. Step 6: Final answer
    x = 699.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.