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Finding the Fourth Proportional to 683.98, 944.34 and 526.32

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Solution

The fourth proportional to 683.98, 944.34 and 526.32 is: 726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 944.34 = 526.32 : x
  2. Step 2: Convert to fraction form
    683.98/944.34 = 526.32/x
  3. Step 3: Cross multiply
    683.98x = 944.34 × 526.32
  4. Step 4: Simplify right side
    683.98x = 497,025.03
  5. Step 5: Solve for x
    x = 497,025.03/683.98
  6. Step 6: Final answer
    x = 726.67

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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.