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Finding the Fourth Proportional to 790.44, 1,184.52 and 425.10

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Solution

The fourth proportional to 790.44, 1,184.52 and 425.10 is: 637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.44 : 1,184.52 = 425.10 : x
  2. Step 2: Convert to fraction form
    790.44/1,184.52 = 425.10/x
  3. Step 3: Cross multiply
    790.44x = 1,184.52 × 425.10
  4. Step 4: Simplify right side
    790.44x = 503,539.45
  5. Step 5: Solve for x
    x = 503,539.45/790.44
  6. Step 6: Final answer
    x = 637.04

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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.