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Finding the Fourth Proportional to 491.59, 678.78 and 380.87

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Solution

The fourth proportional to 491.59, 678.78 and 380.87 is: 525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.59 : 678.78 = 380.87 : x
  2. Step 2: Convert to fraction form
    491.59/678.78 = 380.87/x
  3. Step 3: Cross multiply
    491.59x = 678.78 × 380.87
  4. Step 4: Simplify right side
    491.59x = 258,526.09
  5. Step 5: Solve for x
    x = 258,526.09/491.59
  6. Step 6: Final answer
    x = 525.90

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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.