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Finding the Fourth Proportional to 1,420.81, 2,131.65 and 543.71

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Solution

The fourth proportional to 1,420.81, 2,131.65 and 543.71 is: 815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.81 : 2,131.65 = 543.71 : x
  2. Step 2: Convert to fraction form
    1,420.81/2,131.65 = 543.71/x
  3. Step 3: Cross multiply
    1,420.81x = 2,131.65 × 543.71
  4. Step 4: Simplify right side
    1,420.81x = 1,159,004.75
  5. Step 5: Solve for x
    x = 1,159,004.75/1,420.81
  6. Step 6: Final answer
    x = 815.74

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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.