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Finding the Fourth Proportional to 1,061.06, 1,591.64 and 291.56

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Solution

The fourth proportional to 1,061.06, 1,591.64 and 291.56 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.06 : 1,591.64 = 291.56 : x
  2. Step 2: Convert to fraction form
    1,061.06/1,591.64 = 291.56/x
  3. Step 3: Cross multiply
    1,061.06x = 1,591.64 × 291.56
  4. Step 4: Simplify right side
    1,061.06x = 464,063.27
  5. Step 5: Solve for x
    x = 464,063.27/1,061.06
  6. Step 6: Final answer
    x = 437.36

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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.