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Finding the Fourth Proportional to 884.05, 1,219.98 and 511.02

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Solution

The fourth proportional to 884.05, 1,219.98 and 511.02 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.05 : 1,219.98 = 511.02 : x
  2. Step 2: Convert to fraction form
    884.05/1,219.98 = 511.02/x
  3. Step 3: Cross multiply
    884.05x = 1,219.98 × 511.02
  4. Step 4: Simplify right side
    884.05x = 623,434.18
  5. Step 5: Solve for x
    x = 623,434.18/884.05
  6. Step 6: Final answer
    x = 705.20

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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.