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Finding the Fourth Proportional to 1,288.83, 1,779.36 and 847.50

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Solution

The fourth proportional to 1,288.83, 1,779.36 and 847.50 is: 1,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.83 : 1,779.36 = 847.50 : x
  2. Step 2: Convert to fraction form
    1,288.83/1,779.36 = 847.50/x
  3. Step 3: Cross multiply
    1,288.83x = 1,779.36 × 847.50
  4. Step 4: Simplify right side
    1,288.83x = 1,508,007.60
  5. Step 5: Solve for x
    x = 1,508,007.60/1,288.83
  6. Step 6: Final answer
    x = 1,170.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.