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Finding the Fourth Proportional to 619.85, 927.65 and 465.40

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Solution

The fourth proportional to 619.85, 927.65 and 465.40 is: 696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.85 : 927.65 = 465.40 : x
  2. Step 2: Convert to fraction form
    619.85/927.65 = 465.40/x
  3. Step 3: Cross multiply
    619.85x = 927.65 × 465.40
  4. Step 4: Simplify right side
    619.85x = 431,725.42
  5. Step 5: Solve for x
    x = 431,725.42/619.85
  6. Step 6: Final answer
    x = 696.50

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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.