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Finding the Fourth Proportional to 526.75, 727.14 and 349.80

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Solution

The fourth proportional to 526.75, 727.14 and 349.80 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 727.14 = 349.80 : x
  2. Step 2: Convert to fraction form
    526.75/727.14 = 349.80/x
  3. Step 3: Cross multiply
    526.75x = 727.14 × 349.80
  4. Step 4: Simplify right side
    526.75x = 254,353.57
  5. Step 5: Solve for x
    x = 254,353.57/526.75
  6. Step 6: Final answer
    x = 482.87

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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.