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Finding the Fourth Proportional to 1,037.50, 1,431.75 and 571.75

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Solution

The fourth proportional to 1,037.50, 1,431.75 and 571.75 is: 789.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.50 : 1,431.75 = 571.75 : x
  2. Step 2: Convert to fraction form
    1,037.50/1,431.75 = 571.75/x
  3. Step 3: Cross multiply
    1,037.50x = 1,431.75 × 571.75
  4. Step 4: Simplify right side
    1,037.50x = 818,603.06
  5. Step 5: Solve for x
    x = 818,603.06/1,037.50
  6. Step 6: Final answer
    x = 789.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.