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Finding the Fourth Proportional to 1,026.25, 1,416.86 and 804.67

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Solution

The fourth proportional to 1,026.25, 1,416.86 and 804.67 is: 1,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.25 : 1,416.86 = 804.67 : x
  2. Step 2: Convert to fraction form
    1,026.25/1,416.86 = 804.67/x
  3. Step 3: Cross multiply
    1,026.25x = 1,416.86 × 804.67
  4. Step 4: Simplify right side
    1,026.25x = 1,140,104.74
  5. Step 5: Solve for x
    x = 1,140,104.74/1,026.25
  6. Step 6: Final answer
    x = 1,110.94

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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.