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Finding the Fourth Proportional to 931.97, 1,397.14 and 444.35

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Solution

The fourth proportional to 931.97, 1,397.14 and 444.35 is: 666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.97 : 1,397.14 = 444.35 : x
  2. Step 2: Convert to fraction form
    931.97/1,397.14 = 444.35/x
  3. Step 3: Cross multiply
    931.97x = 1,397.14 × 444.35
  4. Step 4: Simplify right side
    931.97x = 620,811.06
  5. Step 5: Solve for x
    x = 620,811.06/931.97
  6. Step 6: Final answer
    x = 666.13

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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.