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Finding the Fourth Proportional to 1,188.86, 1,782.07 and 772.63

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Solution

The fourth proportional to 1,188.86, 1,782.07 and 772.63 is: 1,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.86 : 1,782.07 = 772.63 : x
  2. Step 2: Convert to fraction form
    1,188.86/1,782.07 = 772.63/x
  3. Step 3: Cross multiply
    1,188.86x = 1,782.07 × 772.63
  4. Step 4: Simplify right side
    1,188.86x = 1,376,874.36
  5. Step 5: Solve for x
    x = 1,376,874.36/1,188.86
  6. Step 6: Final answer
    x = 1,158.15

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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.