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Finding the Fourth Proportional to 729.03, 1,005.73 and 492.90

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Solution

The fourth proportional to 729.03, 1,005.73 and 492.90 is: 679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.03 : 1,005.73 = 492.90 : x
  2. Step 2: Convert to fraction form
    729.03/1,005.73 = 492.90/x
  3. Step 3: Cross multiply
    729.03x = 1,005.73 × 492.90
  4. Step 4: Simplify right side
    729.03x = 495,724.32
  5. Step 5: Solve for x
    x = 495,724.32/729.03
  6. Step 6: Final answer
    x = 679.98

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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.