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Finding the Fourth Proportional to 1,133.05, 1,699.58 and 311.30

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Solution

The fourth proportional to 1,133.05, 1,699.58 and 311.30 is: 466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.05 : 1,699.58 = 311.30 : x
  2. Step 2: Convert to fraction form
    1,133.05/1,699.58 = 311.30/x
  3. Step 3: Cross multiply
    1,133.05x = 1,699.58 × 311.30
  4. Step 4: Simplify right side
    1,133.05x = 529,079.25
  5. Step 5: Solve for x
    x = 529,079.25/1,133.05
  6. Step 6: Final answer
    x = 466.95

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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.