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Finding the Fourth Proportional to 758.84, 1,136.66 and 348.31

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Solution

The fourth proportional to 758.84, 1,136.66 and 348.31 is: 521.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.84 : 1,136.66 = 348.31 : x
  2. Step 2: Convert to fraction form
    758.84/1,136.66 = 348.31/x
  3. Step 3: Cross multiply
    758.84x = 1,136.66 × 348.31
  4. Step 4: Simplify right side
    758.84x = 395,909.72
  5. Step 5: Solve for x
    x = 395,909.72/758.84
  6. Step 6: Final answer
    x = 521.73

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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.