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Finding the Fourth Proportional to 1,185.97, 1,779.86 and 537.16

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Solution

The fourth proportional to 1,185.97, 1,779.86 and 537.16 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.97 : 1,779.86 = 537.16 : x
  2. Step 2: Convert to fraction form
    1,185.97/1,779.86 = 537.16/x
  3. Step 3: Cross multiply
    1,185.97x = 1,779.86 × 537.16
  4. Step 4: Simplify right side
    1,185.97x = 956,058.01
  5. Step 5: Solve for x
    x = 956,058.01/1,185.97
  6. Step 6: Final answer
    x = 806.14

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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.