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Finding the Fourth Proportional to 488.46, 728.47 and 415.79

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Solution

The fourth proportional to 488.46, 728.47 and 415.79 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.46 : 728.47 = 415.79 : x
  2. Step 2: Convert to fraction form
    488.46/728.47 = 415.79/x
  3. Step 3: Cross multiply
    488.46x = 728.47 × 415.79
  4. Step 4: Simplify right side
    488.46x = 302,885.86
  5. Step 5: Solve for x
    x = 302,885.86/488.46
  6. Step 6: Final answer
    x = 620.08

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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.