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Finding the Fourth Proportional to 759.87, 1,048.38 and 428.18

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Solution

The fourth proportional to 759.87, 1,048.38 and 428.18 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.87 : 1,048.38 = 428.18 : x
  2. Step 2: Convert to fraction form
    759.87/1,048.38 = 428.18/x
  3. Step 3: Cross multiply
    759.87x = 1,048.38 × 428.18
  4. Step 4: Simplify right side
    759.87x = 448,890.11
  5. Step 5: Solve for x
    x = 448,890.11/759.87
  6. Step 6: Final answer
    x = 590.75

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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.