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Finding the Fourth Proportional to 1,356.63, 1,872.10 and 767.16

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Solution

The fourth proportional to 1,356.63, 1,872.10 and 767.16 is: 1,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.63 : 1,872.10 = 767.16 : x
  2. Step 2: Convert to fraction form
    1,356.63/1,872.10 = 767.16/x
  3. Step 3: Cross multiply
    1,356.63x = 1,872.10 × 767.16
  4. Step 4: Simplify right side
    1,356.63x = 1,436,194.17
  5. Step 5: Solve for x
    x = 1,436,194.17/1,356.63
  6. Step 6: Final answer
    x = 1,058.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.