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Finding the Fourth Proportional to 830.18, 1,244.12 and 459.43

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Solution

The fourth proportional to 830.18, 1,244.12 and 459.43 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.18 : 1,244.12 = 459.43 : x
  2. Step 2: Convert to fraction form
    830.18/1,244.12 = 459.43/x
  3. Step 3: Cross multiply
    830.18x = 1,244.12 × 459.43
  4. Step 4: Simplify right side
    830.18x = 571,584.09
  5. Step 5: Solve for x
    x = 571,584.09/830.18
  6. Step 6: Final answer
    x = 688.51

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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.