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Finding the Fourth Proportional to 478.99, 718.94 and 296.74

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Solution

The fourth proportional to 478.99, 718.94 and 296.74 is: 445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.99 : 718.94 = 296.74 : x
  2. Step 2: Convert to fraction form
    478.99/718.94 = 296.74/x
  3. Step 3: Cross multiply
    478.99x = 718.94 × 296.74
  4. Step 4: Simplify right side
    478.99x = 213,338.26
  5. Step 5: Solve for x
    x = 213,338.26/478.99
  6. Step 6: Final answer
    x = 445.39

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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.