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Finding the Fourth Proportional to 780.83, 1,171.22 and 233.02

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Solution

The fourth proportional to 780.83, 1,171.22 and 233.02 is: 349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.83 : 1,171.22 = 233.02 : x
  2. Step 2: Convert to fraction form
    780.83/1,171.22 = 233.02/x
  3. Step 3: Cross multiply
    780.83x = 1,171.22 × 233.02
  4. Step 4: Simplify right side
    780.83x = 272,915.34
  5. Step 5: Solve for x
    x = 272,915.34/780.83
  6. Step 6: Final answer
    x = 349.52

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1.5x scale

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.