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Finding the Fourth Proportional to 479.52, 719.58 and 414.98

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Solution

The fourth proportional to 479.52, 719.58 and 414.98 is: 622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.52 : 719.58 = 414.98 : x
  2. Step 2: Convert to fraction form
    479.52/719.58 = 414.98/x
  3. Step 3: Cross multiply
    479.52x = 719.58 × 414.98
  4. Step 4: Simplify right side
    479.52x = 298,607.71
  5. Step 5: Solve for x
    x = 298,607.71/479.52
  6. Step 6: Final answer
    x = 622.72

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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.