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Finding the Fourth Proportional to 1,190.08, 1,784.40 and 778.72

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Solution

The fourth proportional to 1,190.08, 1,784.40 and 778.72 is: 1,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.08 : 1,784.40 = 778.72 : x
  2. Step 2: Convert to fraction form
    1,190.08/1,784.40 = 778.72/x
  3. Step 3: Cross multiply
    1,190.08x = 1,784.40 × 778.72
  4. Step 4: Simplify right side
    1,190.08x = 1,389,547.97
  5. Step 5: Solve for x
    x = 1,389,547.97/1,190.08
  6. Step 6: Final answer
    x = 1,167.61

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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.