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Finding the Fourth Proportional to 1,188.49, 1,782.74 and 780.21

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Solution

The fourth proportional to 1,188.49, 1,782.74 and 780.21 is: 1,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.49 : 1,782.74 = 780.21 : x
  2. Step 2: Convert to fraction form
    1,188.49/1,782.74 = 780.21/x
  3. Step 3: Cross multiply
    1,188.49x = 1,782.74 × 780.21
  4. Step 4: Simplify right side
    1,188.49x = 1,390,911.58
  5. Step 5: Solve for x
    x = 1,390,911.58/1,188.49
  6. Step 6: Final answer
    x = 1,170.32

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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.