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Finding the Fourth Proportional to 1,506.25, 2,259.38 and 640.56

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Solution

The fourth proportional to 1,506.25, 2,259.38 and 640.56 is: 960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.25 : 2,259.38 = 640.56 : x
  2. Step 2: Convert to fraction form
    1,506.25/2,259.38 = 640.56/x
  3. Step 3: Cross multiply
    1,506.25x = 2,259.38 × 640.56
  4. Step 4: Simplify right side
    1,506.25x = 1,447,268.45
  5. Step 5: Solve for x
    x = 1,447,268.45/1,506.25
  6. Step 6: Final answer
    x = 960.84

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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.