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Finding the Fourth Proportional to 790.44, 1,184.76 and 425.40

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Solution

The fourth proportional to 790.44, 1,184.76 and 425.40 is: 637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.44 : 1,184.76 = 425.40 : x
  2. Step 2: Convert to fraction form
    790.44/1,184.76 = 425.40/x
  3. Step 3: Cross multiply
    790.44x = 1,184.76 × 425.40
  4. Step 4: Simplify right side
    790.44x = 503,996.90
  5. Step 5: Solve for x
    x = 503,996.90/790.44
  6. Step 6: Final answer
    x = 637.62

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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.