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Finding the Fourth Proportional to 758.21, 1,136.25 and 526.75

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Solution

The fourth proportional to 758.21, 1,136.25 and 526.75 is: 789.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.21 : 1,136.25 = 526.75 : x
  2. Step 2: Convert to fraction form
    758.21/1,136.25 = 526.75/x
  3. Step 3: Cross multiply
    758.21x = 1,136.25 × 526.75
  4. Step 4: Simplify right side
    758.21x = 598,521.11
  5. Step 5: Solve for x
    x = 598,521.11/758.21
  6. Step 6: Final answer
    x = 789.39

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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.