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Finding the Fourth Proportional to 1,480.32, 2,219.76 and 847.02

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Solution

The fourth proportional to 1,480.32, 2,219.76 and 847.02 is: 1,270.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.32 : 2,219.76 = 847.02 : x
  2. Step 2: Convert to fraction form
    1,480.32/2,219.76 = 847.02/x
  3. Step 3: Cross multiply
    1,480.32x = 2,219.76 × 847.02
  4. Step 4: Simplify right side
    1,480.32x = 1,880,181.12
  5. Step 5: Solve for x
    x = 1,880,181.12/1,480.32
  6. Step 6: Final answer
    x = 1,270.12

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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.