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Finding the Fourth Proportional to 1,025.48, 1,537.86 and 717.48

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Solution

The fourth proportional to 1,025.48, 1,537.86 and 717.48 is: 1,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.48 : 1,537.86 = 717.48 : x
  2. Step 2: Convert to fraction form
    1,025.48/1,537.86 = 717.48/x
  3. Step 3: Cross multiply
    1,025.48x = 1,537.86 × 717.48
  4. Step 4: Simplify right side
    1,025.48x = 1,103,383.79
  5. Step 5: Solve for x
    x = 1,103,383.79/1,025.48
  6. Step 6: Final answer
    x = 1,075.97

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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.