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Finding the Fourth Proportional to 736.33, 1,015.93 and 474.50

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Solution

The fourth proportional to 736.33, 1,015.93 and 474.50 is: 654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.33 : 1,015.93 = 474.50 : x
  2. Step 2: Convert to fraction form
    736.33/1,015.93 = 474.50/x
  3. Step 3: Cross multiply
    736.33x = 1,015.93 × 474.50
  4. Step 4: Simplify right side
    736.33x = 482,056.20
  5. Step 5: Solve for x
    x = 482,056.20/736.33
  6. Step 6: Final answer
    x = 654.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.