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Finding the Fourth Proportional to 1,628.99, 2,247.45 and 920.75

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Solution

The fourth proportional to 1,628.99, 2,247.45 and 920.75 is: 1,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.99 : 2,247.45 = 920.75 : x
  2. Step 2: Convert to fraction form
    1,628.99/2,247.45 = 920.75/x
  3. Step 3: Cross multiply
    1,628.99x = 2,247.45 × 920.75
  4. Step 4: Simplify right side
    1,628.99x = 2,069,339.59
  5. Step 5: Solve for x
    x = 2,069,339.59/1,628.99
  6. Step 6: Final answer
    x = 1,270.32

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Half scale
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Double scale
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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.