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Finding the Fourth Proportional to 1,987.28, 2,980.94 and 526.43

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Solution

The fourth proportional to 1,987.28, 2,980.94 and 526.43 is: 789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.28 : 2,980.94 = 526.43 : x
  2. Step 2: Convert to fraction form
    1,987.28/2,980.94 = 526.43/x
  3. Step 3: Cross multiply
    1,987.28x = 2,980.94 × 526.43
  4. Step 4: Simplify right side
    1,987.28x = 1,569,263.29
  5. Step 5: Solve for x
    x = 1,569,263.29/1,987.28
  6. Step 6: Final answer
    x = 789.65

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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.