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Finding the Fourth Proportional to 613.91, 921.32 and 289.50

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Solution

The fourth proportional to 613.91, 921.32 and 289.50 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.91 : 921.32 = 289.50 : x
  2. Step 2: Convert to fraction form
    613.91/921.32 = 289.50/x
  3. Step 3: Cross multiply
    613.91x = 921.32 × 289.50
  4. Step 4: Simplify right side
    613.91x = 266,722.14
  5. Step 5: Solve for x
    x = 266,722.14/613.91
  6. Step 6: Final answer
    x = 434.46

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Why These Related Problems?

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