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Finding the Fourth Proportional to 521.82, 719.55 and 364.64

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Solution

The fourth proportional to 521.82, 719.55 and 364.64 is: 502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 719.55 = 364.64 : x
  2. Step 2: Convert to fraction form
    521.82/719.55 = 364.64/x
  3. Step 3: Cross multiply
    521.82x = 719.55 × 364.64
  4. Step 4: Simplify right side
    521.82x = 262,373.11
  5. Step 5: Solve for x
    x = 262,373.11/521.82
  6. Step 6: Final answer
    x = 502.80

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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.