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Finding the Fourth Proportional to 983.99, 1,478.04 and 830.22

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Solution

The fourth proportional to 983.99, 1,478.04 and 830.22 is: 1,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.99 : 1,478.04 = 830.22 : x
  2. Step 2: Convert to fraction form
    983.99/1,478.04 = 830.22/x
  3. Step 3: Cross multiply
    983.99x = 1,478.04 × 830.22
  4. Step 4: Simplify right side
    983.99x = 1,227,086.83
  5. Step 5: Solve for x
    x = 1,227,086.83/983.99
  6. Step 6: Final answer
    x = 1,247.05

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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.