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Finding the Fourth Proportional to 1,364.56, 1,883.07 and 767.05

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Solution

The fourth proportional to 1,364.56, 1,883.07 and 767.05 is: 1,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.56 : 1,883.07 = 767.05 : x
  2. Step 2: Convert to fraction form
    1,364.56/1,883.07 = 767.05/x
  3. Step 3: Cross multiply
    1,364.56x = 1,883.07 × 767.05
  4. Step 4: Simplify right side
    1,364.56x = 1,444,404.14
  5. Step 5: Solve for x
    x = 1,444,404.14/1,364.56
  6. Step 6: Final answer
    x = 1,058.51

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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.