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Finding the Fourth Proportional to 920.16, 1,269.81 and 506.16

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Solution

The fourth proportional to 920.16, 1,269.81 and 506.16 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.16 : 1,269.81 = 506.16 : x
  2. Step 2: Convert to fraction form
    920.16/1,269.81 = 506.16/x
  3. Step 3: Cross multiply
    920.16x = 1,269.81 × 506.16
  4. Step 4: Simplify right side
    920.16x = 642,727.03
  5. Step 5: Solve for x
    x = 642,727.03/920.16
  6. Step 6: Final answer
    x = 698.49

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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.