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Finding the Fourth Proportional to 909.98, 1,365.08 and 663.94

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Solution

The fourth proportional to 909.98, 1,365.08 and 663.94 is: 995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 1,365.08 = 663.94 : x
  2. Step 2: Convert to fraction form
    909.98/1,365.08 = 663.94/x
  3. Step 3: Cross multiply
    909.98x = 1,365.08 × 663.94
  4. Step 4: Simplify right side
    909.98x = 906,331.22
  5. Step 5: Solve for x
    x = 906,331.22/909.98
  6. Step 6: Final answer
    x = 995.99

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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.