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Finding the Fourth Proportional to 728.76, 1,086.51 and 646.68

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Solution

The fourth proportional to 728.76, 1,086.51 and 646.68 is: 964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,086.51 = 646.68 : x
  2. Step 2: Convert to fraction form
    728.76/1,086.51 = 646.68/x
  3. Step 3: Cross multiply
    728.76x = 1,086.51 × 646.68
  4. Step 4: Simplify right side
    728.76x = 702,624.29
  5. Step 5: Solve for x
    x = 702,624.29/728.76
  6. Step 6: Final answer
    x = 964.14

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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.