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Finding the Fourth Proportional to 820.38, 1,230.75 and 454.98

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Solution

The fourth proportional to 820.38, 1,230.75 and 454.98 is: 682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,230.75 = 454.98 : x
  2. Step 2: Convert to fraction form
    820.38/1,230.75 = 454.98/x
  3. Step 3: Cross multiply
    820.38x = 1,230.75 × 454.98
  4. Step 4: Simplify right side
    820.38x = 559,966.64
  5. Step 5: Solve for x
    x = 559,966.64/820.38
  6. Step 6: Final answer
    x = 682.57

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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.