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Finding the Fourth Proportional to 784.98, 1,176.42 and 418.98

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Solution

The fourth proportional to 784.98, 1,176.42 and 418.98 is: 627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.98 : 1,176.42 = 418.98 : x
  2. Step 2: Convert to fraction form
    784.98/1,176.42 = 418.98/x
  3. Step 3: Cross multiply
    784.98x = 1,176.42 × 418.98
  4. Step 4: Simplify right side
    784.98x = 492,896.45
  5. Step 5: Solve for x
    x = 492,896.45/784.98
  6. Step 6: Final answer
    x = 627.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.