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Finding the Fourth Proportional to 492.86, 738.75 and 319.88

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Solution

The fourth proportional to 492.86, 738.75 and 319.88 is: 479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.86 : 738.75 = 319.88 : x
  2. Step 2: Convert to fraction form
    492.86/738.75 = 319.88/x
  3. Step 3: Cross multiply
    492.86x = 738.75 × 319.88
  4. Step 4: Simplify right side
    492.86x = 236,314.40
  5. Step 5: Solve for x
    x = 236,314.40/492.86
  6. Step 6: Final answer
    x = 479.47

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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.