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Finding the Fourth Proportional to 522.60, 719.62 and 397.77

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Solution

The fourth proportional to 522.60, 719.62 and 397.77 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.60 : 719.62 = 397.77 : x
  2. Step 2: Convert to fraction form
    522.60/719.62 = 397.77/x
  3. Step 3: Cross multiply
    522.60x = 719.62 × 397.77
  4. Step 4: Simplify right side
    522.60x = 286,243.25
  5. Step 5: Solve for x
    x = 286,243.25/522.60
  6. Step 6: Final answer
    x = 547.73

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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.