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Finding the Fourth Proportional to 1,187.55, 1,780.25 and 537.93

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Solution

The fourth proportional to 1,187.55, 1,780.25 and 537.93 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.55 : 1,780.25 = 537.93 : x
  2. Step 2: Convert to fraction form
    1,187.55/1,780.25 = 537.93/x
  3. Step 3: Cross multiply
    1,187.55x = 1,780.25 × 537.93
  4. Step 4: Simplify right side
    1,187.55x = 957,647.19
  5. Step 5: Solve for x
    x = 957,647.19/1,187.55
  6. Step 6: Final answer
    x = 806.41

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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.