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Finding the Fourth Proportional to 804.76, 1,207.30 and 257.08

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Solution

The fourth proportional to 804.76, 1,207.30 and 257.08 is: 385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.76 : 1,207.30 = 257.08 : x
  2. Step 2: Convert to fraction form
    804.76/1,207.30 = 257.08/x
  3. Step 3: Cross multiply
    804.76x = 1,207.30 × 257.08
  4. Step 4: Simplify right side
    804.76x = 310,372.68
  5. Step 5: Solve for x
    x = 310,372.68/804.76
  6. Step 6: Final answer
    x = 385.67

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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.