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Finding the Fourth Proportional to 587.97, 811.02 and 378.42

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Solution

The fourth proportional to 587.97, 811.02 and 378.42 is: 521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.97 : 811.02 = 378.42 : x
  2. Step 2: Convert to fraction form
    587.97/811.02 = 378.42/x
  3. Step 3: Cross multiply
    587.97x = 811.02 × 378.42
  4. Step 4: Simplify right side
    587.97x = 306,903.08
  5. Step 5: Solve for x
    x = 306,903.08/587.97
  6. Step 6: Final answer
    x = 521.98

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1.5x scale

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.