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Finding the Fourth Proportional to 909.03, 1,364.93 and 864.44

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Solution

The fourth proportional to 909.03, 1,364.93 and 864.44 is: 1,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.03 : 1,364.93 = 864.44 : x
  2. Step 2: Convert to fraction form
    909.03/1,364.93 = 864.44/x
  3. Step 3: Cross multiply
    909.03x = 1,364.93 × 864.44
  4. Step 4: Simplify right side
    909.03x = 1,179,888.94
  5. Step 5: Solve for x
    x = 1,179,888.94/909.03
  6. Step 6: Final answer
    x = 1,297.96

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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.