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Finding the Fourth Proportional to 1,804.94, 2,707.38 and 572.30

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Solution

The fourth proportional to 1,804.94, 2,707.38 and 572.30 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.94 : 2,707.38 = 572.30 : x
  2. Step 2: Convert to fraction form
    1,804.94/2,707.38 = 572.30/x
  3. Step 3: Cross multiply
    1,804.94x = 2,707.38 × 572.30
  4. Step 4: Simplify right side
    1,804.94x = 1,549,433.57
  5. Step 5: Solve for x
    x = 1,549,433.57/1,804.94
  6. Step 6: Final answer
    x = 858.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.