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Finding the Fourth Proportional to 1,047.83, 1,571.88 and 354.56

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Solution

The fourth proportional to 1,047.83, 1,571.88 and 354.56 is: 531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.83 : 1,571.88 = 354.56 : x
  2. Step 2: Convert to fraction form
    1,047.83/1,571.88 = 354.56/x
  3. Step 3: Cross multiply
    1,047.83x = 1,571.88 × 354.56
  4. Step 4: Simplify right side
    1,047.83x = 557,317.91
  5. Step 5: Solve for x
    x = 557,317.91/1,047.83
  6. Step 6: Final answer
    x = 531.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.