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Finding the Fourth Proportional to 522.05, 719.60 and 411.35

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Solution

The fourth proportional to 522.05, 719.60 and 411.35 is: 567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.05 : 719.60 = 411.35 : x
  2. Step 2: Convert to fraction form
    522.05/719.60 = 411.35/x
  3. Step 3: Cross multiply
    522.05x = 719.60 × 411.35
  4. Step 4: Simplify right side
    522.05x = 296,001.81
  5. Step 5: Solve for x
    x = 296,001.81/522.05
  6. Step 6: Final answer
    x = 567.00

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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.