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Finding the Fourth Proportional to 931.04, 1,284 and 721.28

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Solution

The fourth proportional to 931.04, 1,284 and 721.28 is: 994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.04 : 1,284 = 721.28 : x
  2. Step 2: Convert to fraction form
    931.04/1,284 = 721.28/x
  3. Step 3: Cross multiply
    931.04x = 1,284 × 721.28
  4. Step 4: Simplify right side
    931.04x = 926,123.52
  5. Step 5: Solve for x
    x = 926,123.52/931.04
  6. Step 6: Final answer
    x = 994.72

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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.