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Finding the Fourth Proportional to 804.01, 1,110.03 and 617.14

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Solution

The fourth proportional to 804.01, 1,110.03 and 617.14 is: 852.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.01 : 1,110.03 = 617.14 : x
  2. Step 2: Convert to fraction form
    804.01/1,110.03 = 617.14/x
  3. Step 3: Cross multiply
    804.01x = 1,110.03 × 617.14
  4. Step 4: Simplify right side
    804.01x = 685,038.82
  5. Step 5: Solve for x
    x = 685,038.82/804.01
  6. Step 6: Final answer
    x = 852.03

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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.