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Finding the Fourth Proportional to 1,804.86, 2,707.38 and 572.28

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Solution

The fourth proportional to 1,804.86, 2,707.38 and 572.28 is: 858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.86 : 2,707.38 = 572.28 : x
  2. Step 2: Convert to fraction form
    1,804.86/2,707.38 = 572.28/x
  3. Step 3: Cross multiply
    1,804.86x = 2,707.38 × 572.28
  4. Step 4: Simplify right side
    1,804.86x = 1,549,379.43
  5. Step 5: Solve for x
    x = 1,549,379.43/1,804.86
  6. Step 6: Final answer
    x = 858.45

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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.