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Finding the Fourth Proportional to 804.64, 1,110.46 and 509.80

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Solution

The fourth proportional to 804.64, 1,110.46 and 509.80 is: 703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,110.46 = 509.80 : x
  2. Step 2: Convert to fraction form
    804.64/1,110.46 = 509.80/x
  3. Step 3: Cross multiply
    804.64x = 1,110.46 × 509.80
  4. Step 4: Simplify right side
    804.64x = 566,112.51
  5. Step 5: Solve for x
    x = 566,112.51/804.64
  6. Step 6: Final answer
    x = 703.56

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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.