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Finding the Fourth Proportional to 1,025.80, 1,537.52 and 716.72

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Solution

The fourth proportional to 1,025.80, 1,537.52 and 716.72 is: 1,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,537.52 = 716.72 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,537.52 = 716.72/x
  3. Step 3: Cross multiply
    1,025.80x = 1,537.52 × 716.72
  4. Step 4: Simplify right side
    1,025.80x = 1,101,960.06
  5. Step 5: Solve for x
    x = 1,101,960.06/1,025.80
  6. Step 6: Final answer
    x = 1,074.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.