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Finding the Fourth Proportional to 488.88, 728.84 and 433.80

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Solution

The fourth proportional to 488.88, 728.84 and 433.80 is: 646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.88 : 728.84 = 433.80 : x
  2. Step 2: Convert to fraction form
    488.88/728.84 = 433.80/x
  3. Step 3: Cross multiply
    488.88x = 728.84 × 433.80
  4. Step 4: Simplify right side
    488.88x = 316,168.62
  5. Step 5: Solve for x
    x = 316,168.62/488.88
  6. Step 6: Final answer
    x = 646.72

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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.