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Finding the Fourth Proportional to 758.35, 1,136.60 and 428.47

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Solution

The fourth proportional to 758.35, 1,136.60 and 428.47 is: 642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.35 : 1,136.60 = 428.47 : x
  2. Step 2: Convert to fraction form
    758.35/1,136.60 = 428.47/x
  3. Step 3: Cross multiply
    758.35x = 1,136.60 × 428.47
  4. Step 4: Simplify right side
    758.35x = 486,991.18
  5. Step 5: Solve for x
    x = 486,991.18/758.35
  6. Step 6: Final answer
    x = 642.18

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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.