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Finding the Fourth Proportional to 1,201.68, 1,810.68 and 1,000.74

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Solution

The fourth proportional to 1,201.68, 1,810.68 and 1,000.74 is: 1,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.68 : 1,810.68 = 1,000.74 : x
  2. Step 2: Convert to fraction form
    1,201.68/1,810.68 = 1,000.74/x
  3. Step 3: Cross multiply
    1,201.68x = 1,810.68 × 1,000.74
  4. Step 4: Simplify right side
    1,201.68x = 1,812,019.90
  5. Step 5: Solve for x
    x = 1,812,019.90/1,201.68
  6. Step 6: Final answer
    x = 1,507.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.