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Finding the Fourth Proportional to 899.69, 1,240.25 and 619.47

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Solution

The fourth proportional to 899.69, 1,240.25 and 619.47 is: 853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.69 : 1,240.25 = 619.47 : x
  2. Step 2: Convert to fraction form
    899.69/1,240.25 = 619.47/x
  3. Step 3: Cross multiply
    899.69x = 1,240.25 × 619.47
  4. Step 4: Simplify right side
    899.69x = 768,294.57
  5. Step 5: Solve for x
    x = 768,294.57/899.69
  6. Step 6: Final answer
    x = 853.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.