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Finding the Fourth Proportional to 728.71, 1,093.58 and 317.64

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Solution

The fourth proportional to 728.71, 1,093.58 and 317.64 is: 476.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.71 : 1,093.58 = 317.64 : x
  2. Step 2: Convert to fraction form
    728.71/1,093.58 = 317.64/x
  3. Step 3: Cross multiply
    728.71x = 1,093.58 × 317.64
  4. Step 4: Simplify right side
    728.71x = 347,364.75
  5. Step 5: Solve for x
    x = 347,364.75/728.71
  6. Step 6: Final answer
    x = 476.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.