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Finding the Fourth Proportional to 536.77, 804.03 and 320.23

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Solution

The fourth proportional to 536.77, 804.03 and 320.23 is: 479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 804.03 = 320.23 : x
  2. Step 2: Convert to fraction form
    536.77/804.03 = 320.23/x
  3. Step 3: Cross multiply
    536.77x = 804.03 × 320.23
  4. Step 4: Simplify right side
    536.77x = 257,474.53
  5. Step 5: Solve for x
    x = 257,474.53/536.77
  6. Step 6: Final answer
    x = 479.67

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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.