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Finding the Fourth Proportional to 479.31, 718.35 and 305.91

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Solution

The fourth proportional to 479.31, 718.35 and 305.91 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.31 : 718.35 = 305.91 : x
  2. Step 2: Convert to fraction form
    479.31/718.35 = 305.91/x
  3. Step 3: Cross multiply
    479.31x = 718.35 × 305.91
  4. Step 4: Simplify right side
    479.31x = 219,750.45
  5. Step 5: Solve for x
    x = 219,750.45/479.31
  6. Step 6: Final answer
    x = 458.47

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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.