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Finding the Fourth Proportional to 1,230.81, 1,847.28 and 638.23

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Solution

The fourth proportional to 1,230.81, 1,847.28 and 638.23 is: 957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.81 : 1,847.28 = 638.23 : x
  2. Step 2: Convert to fraction form
    1,230.81/1,847.28 = 638.23/x
  3. Step 3: Cross multiply
    1,230.81x = 1,847.28 × 638.23
  4. Step 4: Simplify right side
    1,230.81x = 1,178,989.51
  5. Step 5: Solve for x
    x = 1,178,989.51/1,230.81
  6. Step 6: Final answer
    x = 957.90

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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.