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Finding the Fourth Proportional to 1,051.80, 1,577.56 and 760.69

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Solution

The fourth proportional to 1,051.80, 1,577.56 and 760.69 is: 1,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.80 : 1,577.56 = 760.69 : x
  2. Step 2: Convert to fraction form
    1,051.80/1,577.56 = 760.69/x
  3. Step 3: Cross multiply
    1,051.80x = 1,577.56 × 760.69
  4. Step 4: Simplify right side
    1,051.80x = 1,200,034.12
  5. Step 5: Solve for x
    x = 1,200,034.12/1,051.80
  6. Step 6: Final answer
    x = 1,140.93

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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.