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Finding the Fourth Proportional to 1,188.81, 1,779.98 and 799.47

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Solution

The fourth proportional to 1,188.81, 1,779.98 and 799.47 is: 1,197.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.81 : 1,779.98 = 799.47 : x
  2. Step 2: Convert to fraction form
    1,188.81/1,779.98 = 799.47/x
  3. Step 3: Cross multiply
    1,188.81x = 1,779.98 × 799.47
  4. Step 4: Simplify right side
    1,188.81x = 1,423,036.61
  5. Step 5: Solve for x
    x = 1,423,036.61/1,188.81
  6. Step 6: Final answer
    x = 1,197.03

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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.