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Finding the Fourth Proportional to 804.34, 1,110.04 and 489.77

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Solution

The fourth proportional to 804.34, 1,110.04 and 489.77 is: 675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.34 : 1,110.04 = 489.77 : x
  2. Step 2: Convert to fraction form
    804.34/1,110.04 = 489.77/x
  3. Step 3: Cross multiply
    804.34x = 1,110.04 × 489.77
  4. Step 4: Simplify right side
    804.34x = 543,657.52
  5. Step 5: Solve for x
    x = 543,657.52/804.34
  6. Step 6: Final answer
    x = 675.91

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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.