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Finding the Fourth Proportional to 1,989.51, 2,984.54 and 690.81

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Solution

The fourth proportional to 1,989.51, 2,984.54 and 690.81 is: 1,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.51 : 2,984.54 = 690.81 : x
  2. Step 2: Convert to fraction form
    1,989.51/2,984.54 = 690.81/x
  3. Step 3: Cross multiply
    1,989.51x = 2,984.54 × 690.81
  4. Step 4: Simplify right side
    1,989.51x = 2,061,746.62
  5. Step 5: Solve for x
    x = 2,061,746.62/1,989.51
  6. Step 6: Final answer
    x = 1,036.31

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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.