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Finding the Fourth Proportional to 1,188.32, 1,782.32 and 611.20

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Solution

The fourth proportional to 1,188.32, 1,782.32 and 611.20 is: 916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.32 : 1,782.32 = 611.20 : x
  2. Step 2: Convert to fraction form
    1,188.32/1,782.32 = 611.20/x
  3. Step 3: Cross multiply
    1,188.32x = 1,782.32 × 611.20
  4. Step 4: Simplify right side
    1,188.32x = 1,089,353.98
  5. Step 5: Solve for x
    x = 1,089,353.98/1,188.32
  6. Step 6: Final answer
    x = 916.72

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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.