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Finding the Fourth Proportional to 729.23, 1,005.15 and 493.10

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Solution

The fourth proportional to 729.23, 1,005.15 and 493.10 is: 679.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,005.15 = 493.10 : x
  2. Step 2: Convert to fraction form
    729.23/1,005.15 = 493.10/x
  3. Step 3: Cross multiply
    729.23x = 1,005.15 × 493.10
  4. Step 4: Simplify right side
    729.23x = 495,634.44
  5. Step 5: Solve for x
    x = 495,634.44/729.23
  6. Step 6: Final answer
    x = 679.67

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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.