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Finding the Fourth Proportional to 488.36, 728.30 and 455.58

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Solution

The fourth proportional to 488.36, 728.30 and 455.58 is: 679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.36 : 728.30 = 455.58 : x
  2. Step 2: Convert to fraction form
    488.36/728.30 = 455.58/x
  3. Step 3: Cross multiply
    488.36x = 728.30 × 455.58
  4. Step 4: Simplify right side
    488.36x = 331,798.91
  5. Step 5: Solve for x
    x = 331,798.91/488.36
  6. Step 6: Final answer
    x = 679.41

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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.