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Finding the Fourth Proportional to 1,190.71, 1,779.16 and 860.08

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Solution

The fourth proportional to 1,190.71, 1,779.16 and 860.08 is: 1,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.71 : 1,779.16 = 860.08 : x
  2. Step 2: Convert to fraction form
    1,190.71/1,779.16 = 860.08/x
  3. Step 3: Cross multiply
    1,190.71x = 1,779.16 × 860.08
  4. Step 4: Simplify right side
    1,190.71x = 1,530,217.64
  5. Step 5: Solve for x
    x = 1,530,217.64/1,190.71
  6. Step 6: Final answer
    x = 1,285.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.