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Finding the Fourth Proportional to 830.43, 1,146.33 and 499.14

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Solution

The fourth proportional to 830.43, 1,146.33 and 499.14 is: 689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.43 : 1,146.33 = 499.14 : x
  2. Step 2: Convert to fraction form
    830.43/1,146.33 = 499.14/x
  3. Step 3: Cross multiply
    830.43x = 1,146.33 × 499.14
  4. Step 4: Simplify right side
    830.43x = 572,179.16
  5. Step 5: Solve for x
    x = 572,179.16/830.43
  6. Step 6: Final answer
    x = 689.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.