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Finding the Fourth Proportional to 1,225.04, 1,689.39 and 804.65

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Solution

The fourth proportional to 1,225.04, 1,689.39 and 804.65 is: 1,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.04 : 1,689.39 = 804.65 : x
  2. Step 2: Convert to fraction form
    1,225.04/1,689.39 = 804.65/x
  3. Step 3: Cross multiply
    1,225.04x = 1,689.39 × 804.65
  4. Step 4: Simplify right side
    1,225.04x = 1,359,359.22
  5. Step 5: Solve for x
    x = 1,359,359.22/1,225.04
  6. Step 6: Final answer
    x = 1,109.65

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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.