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Finding the Fourth Proportional to 489.12, 729.72 and 464.80

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Solution

The fourth proportional to 489.12, 729.72 and 464.80 is: 693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.12 : 729.72 = 464.80 : x
  2. Step 2: Convert to fraction form
    489.12/729.72 = 464.80/x
  3. Step 3: Cross multiply
    489.12x = 729.72 × 464.80
  4. Step 4: Simplify right side
    489.12x = 339,173.86
  5. Step 5: Solve for x
    x = 339,173.86/489.12
  6. Step 6: Final answer
    x = 693.44

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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.