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Finding the Fourth Proportional to 804.99, 1,110.81 and 473.31

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Solution

The fourth proportional to 804.99, 1,110.81 and 473.31 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.99 : 1,110.81 = 473.31 : x
  2. Step 2: Convert to fraction form
    804.99/1,110.81 = 473.31/x
  3. Step 3: Cross multiply
    804.99x = 1,110.81 × 473.31
  4. Step 4: Simplify right side
    804.99x = 525,757.48
  5. Step 5: Solve for x
    x = 525,757.48/804.99
  6. Step 6: Final answer
    x = 653.12

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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.