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Finding the Fourth Proportional to 532.09, 798.68 and 411.67

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Solution

The fourth proportional to 532.09, 798.68 and 411.67 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.09 : 798.68 = 411.67 : x
  2. Step 2: Convert to fraction form
    532.09/798.68 = 411.67/x
  3. Step 3: Cross multiply
    532.09x = 798.68 × 411.67
  4. Step 4: Simplify right side
    532.09x = 328,792.60
  5. Step 5: Solve for x
    x = 328,792.60/532.09
  6. Step 6: Final answer
    x = 617.93

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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.