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Finding the Fourth Proportional to 804.94, 1,110.92 and 473.65

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Solution

The fourth proportional to 804.94, 1,110.92 and 473.65 is: 653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.94 : 1,110.92 = 473.65 : x
  2. Step 2: Convert to fraction form
    804.94/1,110.92 = 473.65/x
  3. Step 3: Cross multiply
    804.94x = 1,110.92 × 473.65
  4. Step 4: Simplify right side
    804.94x = 526,182.11
  5. Step 5: Solve for x
    x = 526,182.11/804.94
  6. Step 6: Final answer
    x = 653.69

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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.