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Finding the Fourth Proportional to 489.26, 729.87 and 472.79

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Solution

The fourth proportional to 489.26, 729.87 and 472.79 is: 705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.26 : 729.87 = 472.79 : x
  2. Step 2: Convert to fraction form
    489.26/729.87 = 472.79/x
  3. Step 3: Cross multiply
    489.26x = 729.87 × 472.79
  4. Step 4: Simplify right side
    489.26x = 345,075.24
  5. Step 5: Solve for x
    x = 345,075.24/489.26
  6. Step 6: Final answer
    x = 705.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.