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Finding the Fourth Proportional to 931.28, 1,397.36 and 444.48

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Solution

The fourth proportional to 931.28, 1,397.36 and 444.48 is: 666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.28 : 1,397.36 = 444.48 : x
  2. Step 2: Convert to fraction form
    931.28/1,397.36 = 444.48/x
  3. Step 3: Cross multiply
    931.28x = 1,397.36 × 444.48
  4. Step 4: Simplify right side
    931.28x = 621,098.57
  5. Step 5: Solve for x
    x = 621,098.57/931.28
  6. Step 6: Final answer
    x = 666.93

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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.