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Finding the Fourth Proportional to 536.64, 803.72 and 392

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Solution

The fourth proportional to 536.64, 803.72 and 392 is: 587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.64 : 803.72 = 392 : x
  2. Step 2: Convert to fraction form
    536.64/803.72 = 392/x
  3. Step 3: Cross multiply
    536.64x = 803.72 × 392
  4. Step 4: Simplify right side
    536.64x = 315,058.24
  5. Step 5: Solve for x
    x = 315,058.24/536.64
  6. Step 6: Final answer
    x = 587.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.