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Finding the Fourth Proportional to 1,580.41, 2,370.03 and 540.19

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Solution

The fourth proportional to 1,580.41, 2,370.03 and 540.19 is: 810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.41 : 2,370.03 = 540.19 : x
  2. Step 2: Convert to fraction form
    1,580.41/2,370.03 = 540.19/x
  3. Step 3: Cross multiply
    1,580.41x = 2,370.03 × 540.19
  4. Step 4: Simplify right side
    1,580.41x = 1,280,266.51
  5. Step 5: Solve for x
    x = 1,280,266.51/1,580.41
  6. Step 6: Final answer
    x = 810.09

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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.