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Finding the Fourth Proportional to 1,047.31, 1,571.21 and 316.84

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Solution

The fourth proportional to 1,047.31, 1,571.21 and 316.84 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.31 : 1,571.21 = 316.84 : x
  2. Step 2: Convert to fraction form
    1,047.31/1,571.21 = 316.84/x
  3. Step 3: Cross multiply
    1,047.31x = 1,571.21 × 316.84
  4. Step 4: Simplify right side
    1,047.31x = 497,822.97
  5. Step 5: Solve for x
    x = 497,822.97/1,047.31
  6. Step 6: Final answer
    x = 475.34

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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.