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Finding the Fourth Proportional to 728.24, 1,005.08 and 417.84

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Solution

The fourth proportional to 728.24, 1,005.08 and 417.84 is: 576.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,005.08 = 417.84 : x
  2. Step 2: Convert to fraction form
    728.24/1,005.08 = 417.84/x
  3. Step 3: Cross multiply
    728.24x = 1,005.08 × 417.84
  4. Step 4: Simplify right side
    728.24x = 419,962.63
  5. Step 5: Solve for x
    x = 419,962.63/728.24
  6. Step 6: Final answer
    x = 576.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.