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Finding the Fourth Proportional to 522.64, 719.31 and 374.95

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Solution

The fourth proportional to 522.64, 719.31 and 374.95 is: 516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.64 : 719.31 = 374.95 : x
  2. Step 2: Convert to fraction form
    522.64/719.31 = 374.95/x
  3. Step 3: Cross multiply
    522.64x = 719.31 × 374.95
  4. Step 4: Simplify right side
    522.64x = 269,705.28
  5. Step 5: Solve for x
    x = 269,705.28/522.64
  6. Step 6: Final answer
    x = 516.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.