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Finding the Fourth Proportional to 1,004.33, 1,505.95 and 310.70

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Solution

The fourth proportional to 1,004.33, 1,505.95 and 310.70 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.33 : 1,505.95 = 310.70 : x
  2. Step 2: Convert to fraction form
    1,004.33/1,505.95 = 310.70/x
  3. Step 3: Cross multiply
    1,004.33x = 1,505.95 × 310.70
  4. Step 4: Simplify right side
    1,004.33x = 467,890.36
  5. Step 5: Solve for x
    x = 467,890.36/1,004.33
  6. Step 6: Final answer
    x = 465.88

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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.