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Finding the Fourth Proportional to 758.98, 1,136.67 and 484.21

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Solution

The fourth proportional to 758.98, 1,136.67 and 484.21 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.98 : 1,136.67 = 484.21 : x
  2. Step 2: Convert to fraction form
    758.98/1,136.67 = 484.21/x
  3. Step 3: Cross multiply
    758.98x = 1,136.67 × 484.21
  4. Step 4: Simplify right side
    758.98x = 550,386.98
  5. Step 5: Solve for x
    x = 550,386.98/758.98
  6. Step 6: Final answer
    x = 725.17

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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.