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Finding the Fourth Proportional to 753.81, 1,130.54 and 206.00

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Solution

The fourth proportional to 753.81, 1,130.54 and 206.00 is: 308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.81 : 1,130.54 = 206.00 : x
  2. Step 2: Convert to fraction form
    753.81/1,130.54 = 206.00/x
  3. Step 3: Cross multiply
    753.81x = 1,130.54 × 206.00
  4. Step 4: Simplify right side
    753.81x = 232,884.56
  5. Step 5: Solve for x
    x = 232,884.56/753.81
  6. Step 6: Final answer
    x = 308.94

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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.