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Finding the Fourth Proportional to 804.77, 1,208.46 and 498.57

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Solution

The fourth proportional to 804.77, 1,208.46 and 498.57 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.77 : 1,208.46 = 498.57 : x
  2. Step 2: Convert to fraction form
    804.77/1,208.46 = 498.57/x
  3. Step 3: Cross multiply
    804.77x = 1,208.46 × 498.57
  4. Step 4: Simplify right side
    804.77x = 602,499.41
  5. Step 5: Solve for x
    x = 602,499.41/804.77
  6. Step 6: Final answer
    x = 748.67

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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.