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Finding the Fourth Proportional to 1,328.81, 2,000.93 and 984.58

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Solution

The fourth proportional to 1,328.81, 2,000.93 and 984.58 is: 1,482.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.81 : 2,000.93 = 984.58 : x
  2. Step 2: Convert to fraction form
    1,328.81/2,000.93 = 984.58/x
  3. Step 3: Cross multiply
    1,328.81x = 2,000.93 × 984.58
  4. Step 4: Simplify right side
    1,328.81x = 1,970,080.62
  5. Step 5: Solve for x
    x = 1,970,080.62/1,328.81
  6. Step 6: Final answer
    x = 1,482.59

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1.5x scale

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.