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Finding the Fourth Proportional to 811.54, 1,119.45 and 500.50

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Solution

The fourth proportional to 811.54, 1,119.45 and 500.50 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.54 : 1,119.45 = 500.50 : x
  2. Step 2: Convert to fraction form
    811.54/1,119.45 = 500.50/x
  3. Step 3: Cross multiply
    811.54x = 1,119.45 × 500.50
  4. Step 4: Simplify right side
    811.54x = 560,284.73
  5. Step 5: Solve for x
    x = 560,284.73/811.54
  6. Step 6: Final answer
    x = 690.40

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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.