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Finding the Fourth Proportional to 538.69, 744.35 and 420.96

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Solution

The fourth proportional to 538.69, 744.35 and 420.96 is: 581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.69 : 744.35 = 420.96 : x
  2. Step 2: Convert to fraction form
    538.69/744.35 = 420.96/x
  3. Step 3: Cross multiply
    538.69x = 744.35 × 420.96
  4. Step 4: Simplify right side
    538.69x = 313,341.58
  5. Step 5: Solve for x
    x = 313,341.58/538.69
  6. Step 6: Final answer
    x = 581.67

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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.