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Finding the Fourth Proportional to 1,143.50, 1,576.88 and 1,017.07

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Solution

The fourth proportional to 1,143.50, 1,576.88 and 1,017.07 is: 1,402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.50 : 1,576.88 = 1,017.07 : x
  2. Step 2: Convert to fraction form
    1,143.50/1,576.88 = 1,017.07/x
  3. Step 3: Cross multiply
    1,143.50x = 1,576.88 × 1,017.07
  4. Step 4: Simplify right side
    1,143.50x = 1,603,795.78
  5. Step 5: Solve for x
    x = 1,603,795.78/1,143.50
  6. Step 6: Final answer
    x = 1,402.53

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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.