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Finding the Fourth Proportional to 522.46, 721.02 and 289.60

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Solution

The fourth proportional to 522.46, 721.02 and 289.60 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.46 : 721.02 = 289.60 : x
  2. Step 2: Convert to fraction form
    522.46/721.02 = 289.60/x
  3. Step 3: Cross multiply
    522.46x = 721.02 × 289.60
  4. Step 4: Simplify right side
    522.46x = 208,807.39
  5. Step 5: Solve for x
    x = 208,807.39/522.46
  6. Step 6: Final answer
    x = 399.66

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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.