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Finding the Fourth Proportional to 530.43, 796.25 and 414.99

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Solution

The fourth proportional to 530.43, 796.25 and 414.99 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.43 : 796.25 = 414.99 : x
  2. Step 2: Convert to fraction form
    530.43/796.25 = 414.99/x
  3. Step 3: Cross multiply
    530.43x = 796.25 × 414.99
  4. Step 4: Simplify right side
    530.43x = 330,433.71
  5. Step 5: Solve for x
    x = 330,433.71/530.43
  6. Step 6: Final answer
    x = 622.95

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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.