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Finding the Fourth Proportional to 1,131.03, 1,561.07 and 688.84

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Solution

The fourth proportional to 1,131.03, 1,561.07 and 688.84 is: 950.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.03 : 1,561.07 = 688.84 : x
  2. Step 2: Convert to fraction form
    1,131.03/1,561.07 = 688.84/x
  3. Step 3: Cross multiply
    1,131.03x = 1,561.07 × 688.84
  4. Step 4: Simplify right side
    1,131.03x = 1,075,325.28
  5. Step 5: Solve for x
    x = 1,075,325.28/1,131.03
  6. Step 6: Final answer
    x = 950.75

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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.