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Finding the Fourth Proportional to 669.26, 923.76 and 435.98

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Solution

The fourth proportional to 669.26, 923.76 and 435.98 is: 601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.26 : 923.76 = 435.98 : x
  2. Step 2: Convert to fraction form
    669.26/923.76 = 435.98/x
  3. Step 3: Cross multiply
    669.26x = 923.76 × 435.98
  4. Step 4: Simplify right side
    669.26x = 402,740.88
  5. Step 5: Solve for x
    x = 402,740.88/669.26
  6. Step 6: Final answer
    x = 601.77

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