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Finding the Fourth Proportional to 1,185.92, 1,778.08 and 416

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Solution

The fourth proportional to 1,185.92, 1,778.08 and 416 is: 623.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.92 : 1,778.08 = 416 : x
  2. Step 2: Convert to fraction form
    1,185.92/1,778.08 = 416/x
  3. Step 3: Cross multiply
    1,185.92x = 1,778.08 × 416
  4. Step 4: Simplify right side
    1,185.92x = 739,681.28
  5. Step 5: Solve for x
    x = 739,681.28/1,185.92
  6. Step 6: Final answer
    x = 623.72

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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.