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Finding the Fourth Proportional to 1,989.69, 2,984.59 and 528.84

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Solution

The fourth proportional to 1,989.69, 2,984.59 and 528.84 is: 793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.69 : 2,984.59 = 528.84 : x
  2. Step 2: Convert to fraction form
    1,989.69/2,984.59 = 528.84/x
  3. Step 3: Cross multiply
    1,989.69x = 2,984.59 × 528.84
  4. Step 4: Simplify right side
    1,989.69x = 1,578,370.58
  5. Step 5: Solve for x
    x = 1,578,370.58/1,989.69
  6. Step 6: Final answer
    x = 793.27

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1.5x scale

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.