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Finding the Fourth Proportional to 1,564.63, 2,157.86 and 1,232.53

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Solution

The fourth proportional to 1,564.63, 2,157.86 and 1,232.53 is: 1,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.63 : 2,157.86 = 1,232.53 : x
  2. Step 2: Convert to fraction form
    1,564.63/2,157.86 = 1,232.53/x
  3. Step 3: Cross multiply
    1,564.63x = 2,157.86 × 1,232.53
  4. Step 4: Simplify right side
    1,564.63x = 2,659,624.87
  5. Step 5: Solve for x
    x = 2,659,624.87/1,564.63
  6. Step 6: Final answer
    x = 1,699.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.