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Finding the Fourth Proportional to 675.21, 929.93 and 581.92

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Solution

The fourth proportional to 675.21, 929.93 and 581.92 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.21 : 929.93 = 581.92 : x
  2. Step 2: Convert to fraction form
    675.21/929.93 = 581.92/x
  3. Step 3: Cross multiply
    675.21x = 929.93 × 581.92
  4. Step 4: Simplify right side
    675.21x = 541,141.96
  5. Step 5: Solve for x
    x = 541,141.96/675.21
  6. Step 6: Final answer
    x = 801.44

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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.