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Finding the Fourth Proportional to 1,538.34, 2,305.59 and 769.06

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Solution

The fourth proportional to 1,538.34, 2,305.59 and 769.06 is: 1,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.34 : 2,305.59 = 769.06 : x
  2. Step 2: Convert to fraction form
    1,538.34/2,305.59 = 769.06/x
  3. Step 3: Cross multiply
    1,538.34x = 2,305.59 × 769.06
  4. Step 4: Simplify right side
    1,538.34x = 1,773,137.05
  5. Step 5: Solve for x
    x = 1,773,137.05/1,538.34
  6. Step 6: Final answer
    x = 1,152.63

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.