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Finding the Fourth Proportional to 920.02, 1,269.61 and 506.02

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Solution

The fourth proportional to 920.02, 1,269.61 and 506.02 is: 698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.02 : 1,269.61 = 506.02 : x
  2. Step 2: Convert to fraction form
    920.02/1,269.61 = 506.02/x
  3. Step 3: Cross multiply
    920.02x = 1,269.61 × 506.02
  4. Step 4: Simplify right side
    920.02x = 642,448.05
  5. Step 5: Solve for x
    x = 642,448.05/920.02
  6. Step 6: Final answer
    x = 698.30

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1.5x scale

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.