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Finding the Fourth Proportional to 759.95, 1,048.65 and 428.39

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Solution

The fourth proportional to 759.95, 1,048.65 and 428.39 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.95 : 1,048.65 = 428.39 : x
  2. Step 2: Convert to fraction form
    759.95/1,048.65 = 428.39/x
  3. Step 3: Cross multiply
    759.95x = 1,048.65 × 428.39
  4. Step 4: Simplify right side
    759.95x = 449,228.26
  5. Step 5: Solve for x
    x = 449,228.26/759.95
  6. Step 6: Final answer
    x = 591.13

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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.