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Finding the Fourth Proportional to 1,052.88, 1,577.40 and 978

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Solution

The fourth proportional to 1,052.88, 1,577.40 and 978 is: 1,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.88 : 1,577.40 = 978 : x
  2. Step 2: Convert to fraction form
    1,052.88/1,577.40 = 978/x
  3. Step 3: Cross multiply
    1,052.88x = 1,577.40 × 978
  4. Step 4: Simplify right side
    1,052.88x = 1,542,697.20
  5. Step 5: Solve for x
    x = 1,542,697.20/1,052.88
  6. Step 6: Final answer
    x = 1,465.22

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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.