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Finding the Fourth Proportional to 479.10, 719.26 and 407.42

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Solution

The fourth proportional to 479.10, 719.26 and 407.42 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.10 : 719.26 = 407.42 : x
  2. Step 2: Convert to fraction form
    479.10/719.26 = 407.42/x
  3. Step 3: Cross multiply
    479.10x = 719.26 × 407.42
  4. Step 4: Simplify right side
    479.10x = 293,040.91
  5. Step 5: Solve for x
    x = 293,040.91/479.10
  6. Step 6: Final answer
    x = 611.65

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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.