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Finding the Fourth Proportional to 930.33, 1,281.83 and 619.29

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Solution

The fourth proportional to 930.33, 1,281.83 and 619.29 is: 853.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.33 : 1,281.83 = 619.29 : x
  2. Step 2: Convert to fraction form
    930.33/1,281.83 = 619.29/x
  3. Step 3: Cross multiply
    930.33x = 1,281.83 × 619.29
  4. Step 4: Simplify right side
    930.33x = 793,821.40
  5. Step 5: Solve for x
    x = 793,821.40/930.33
  6. Step 6: Final answer
    x = 853.27

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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.