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Finding the Fourth Proportional to 1,272.65, 1,909.59 and 716.99

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Solution

The fourth proportional to 1,272.65, 1,909.59 and 716.99 is: 1,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.65 : 1,909.59 = 716.99 : x
  2. Step 2: Convert to fraction form
    1,272.65/1,909.59 = 716.99/x
  3. Step 3: Cross multiply
    1,272.65x = 1,909.59 × 716.99
  4. Step 4: Simplify right side
    1,272.65x = 1,369,156.93
  5. Step 5: Solve for x
    x = 1,369,156.93/1,272.65
  6. Step 6: Final answer
    x = 1,075.83

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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.