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Finding the Fourth Proportional to 2,305.61, 3,458.42 and 574.23

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Solution

The fourth proportional to 2,305.61, 3,458.42 and 574.23 is: 861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.61 : 3,458.42 = 574.23 : x
  2. Step 2: Convert to fraction form
    2,305.61/3,458.42 = 574.23/x
  3. Step 3: Cross multiply
    2,305.61x = 3,458.42 × 574.23
  4. Step 4: Simplify right side
    2,305.61x = 1,985,925.65
  5. Step 5: Solve for x
    x = 1,985,925.65/2,305.61
  6. Step 6: Final answer
    x = 861.35

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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.