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Finding the Fourth Proportional to 491.58, 678.95 and 325.50

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Solution

The fourth proportional to 491.58, 678.95 and 325.50 is: 449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.58 : 678.95 = 325.50 : x
  2. Step 2: Convert to fraction form
    491.58/678.95 = 325.50/x
  3. Step 3: Cross multiply
    491.58x = 678.95 × 325.50
  4. Step 4: Simplify right side
    491.58x = 220,999.93
  5. Step 5: Solve for x
    x = 220,999.93/491.58
  6. Step 6: Final answer
    x = 449.57

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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.