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Finding the Fourth Proportional to 522.16, 719.59 and 382.32

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Solution

The fourth proportional to 522.16, 719.59 and 382.32 is: 526.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.16 : 719.59 = 382.32 : x
  2. Step 2: Convert to fraction form
    522.16/719.59 = 382.32/x
  3. Step 3: Cross multiply
    522.16x = 719.59 × 382.32
  4. Step 4: Simplify right side
    522.16x = 275,112.69
  5. Step 5: Solve for x
    x = 275,112.69/522.16
  6. Step 6: Final answer
    x = 526.88

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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.