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Finding the Fourth Proportional to 759.84, 1,048.57 and 428.30

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Solution

The fourth proportional to 759.84, 1,048.57 and 428.30 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.84 : 1,048.57 = 428.30 : x
  2. Step 2: Convert to fraction form
    759.84/1,048.57 = 428.30/x
  3. Step 3: Cross multiply
    759.84x = 1,048.57 × 428.30
  4. Step 4: Simplify right side
    759.84x = 449,102.53
  5. Step 5: Solve for x
    x = 449,102.53/759.84
  6. Step 6: Final answer
    x = 591.05

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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.