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Finding the Fourth Proportional to 804.90, 1,207.98 and 415.56

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Solution

The fourth proportional to 804.90, 1,207.98 and 415.56 is: 623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,207.98 = 415.56 : x
  2. Step 2: Convert to fraction form
    804.90/1,207.98 = 415.56/x
  3. Step 3: Cross multiply
    804.90x = 1,207.98 × 415.56
  4. Step 4: Simplify right side
    804.90x = 501,988.17
  5. Step 5: Solve for x
    x = 501,988.17/804.90
  6. Step 6: Final answer
    x = 623.67

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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.