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Finding the Fourth Proportional to 452.16, 677.76 and 289.89

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Solution

The fourth proportional to 452.16, 677.76 and 289.89 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 677.76 = 289.89 : x
  2. Step 2: Convert to fraction form
    452.16/677.76 = 289.89/x
  3. Step 3: Cross multiply
    452.16x = 677.76 × 289.89
  4. Step 4: Simplify right side
    452.16x = 196,475.85
  5. Step 5: Solve for x
    x = 196,475.85/452.16
  6. Step 6: Final answer
    x = 434.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.