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Finding the Fourth Proportional to 488.64, 729.25 and 468.79

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Solution

The fourth proportional to 488.64, 729.25 and 468.79 is: 699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.64 : 729.25 = 468.79 : x
  2. Step 2: Convert to fraction form
    488.64/729.25 = 468.79/x
  3. Step 3: Cross multiply
    488.64x = 729.25 × 468.79
  4. Step 4: Simplify right side
    488.64x = 341,865.11
  5. Step 5: Solve for x
    x = 341,865.11/488.64
  6. Step 6: Final answer
    x = 699.63

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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.