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Finding the Fourth Proportional to 1,187.70, 1,782.47 and 776.72

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Solution

The fourth proportional to 1,187.70, 1,782.47 and 776.72 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.70 : 1,782.47 = 776.72 : x
  2. Step 2: Convert to fraction form
    1,187.70/1,782.47 = 776.72/x
  3. Step 3: Cross multiply
    1,187.70x = 1,782.47 × 776.72
  4. Step 4: Simplify right side
    1,187.70x = 1,384,486.50
  5. Step 5: Solve for x
    x = 1,384,486.50/1,187.70
  6. Step 6: Final answer
    x = 1,165.69

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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.