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Finding the Fourth Proportional to 804.90, 1,110.36 and 524.79

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Solution

The fourth proportional to 804.90, 1,110.36 and 524.79 is: 723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.90 : 1,110.36 = 524.79 : x
  2. Step 2: Convert to fraction form
    804.90/1,110.36 = 524.79/x
  3. Step 3: Cross multiply
    804.90x = 1,110.36 × 524.79
  4. Step 4: Simplify right side
    804.90x = 582,705.82
  5. Step 5: Solve for x
    x = 582,705.82/804.90
  6. Step 6: Final answer
    x = 723.95

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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.