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Finding the Fourth Proportional to 619.38, 930.29 and 580.50

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Solution

The fourth proportional to 619.38, 930.29 and 580.50 is: 871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.38 : 930.29 = 580.50 : x
  2. Step 2: Convert to fraction form
    619.38/930.29 = 580.50/x
  3. Step 3: Cross multiply
    619.38x = 930.29 × 580.50
  4. Step 4: Simplify right side
    619.38x = 540,030.44
  5. Step 5: Solve for x
    x = 540,030.44/619.38
  6. Step 6: Final answer
    x = 871.89

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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.