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Finding the Fourth Proportional to 1,300.98, 1,950.96 and 570.05

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Solution

The fourth proportional to 1,300.98, 1,950.96 and 570.05 is: 854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.98 : 1,950.96 = 570.05 : x
  2. Step 2: Convert to fraction form
    1,300.98/1,950.96 = 570.05/x
  3. Step 3: Cross multiply
    1,300.98x = 1,950.96 × 570.05
  4. Step 4: Simplify right side
    1,300.98x = 1,112,134.99
  5. Step 5: Solve for x
    x = 1,112,134.99/1,300.98
  6. Step 6: Final answer
    x = 854.84

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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.