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Finding the Fourth Proportional to 944.10, 1,302.78 and 524.43

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Solution

The fourth proportional to 944.10, 1,302.78 and 524.43 is: 723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.10 : 1,302.78 = 524.43 : x
  2. Step 2: Convert to fraction form
    944.10/1,302.78 = 524.43/x
  3. Step 3: Cross multiply
    944.10x = 1,302.78 × 524.43
  4. Step 4: Simplify right side
    944.10x = 683,216.92
  5. Step 5: Solve for x
    x = 683,216.92/944.10
  6. Step 6: Final answer
    x = 723.67

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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.