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Finding the Fourth Proportional to 730.97, 1,008.74 and 399.40

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Solution

The fourth proportional to 730.97, 1,008.74 and 399.40 is: 551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.97 : 1,008.74 = 399.40 : x
  2. Step 2: Convert to fraction form
    730.97/1,008.74 = 399.40/x
  3. Step 3: Cross multiply
    730.97x = 1,008.74 × 399.40
  4. Step 4: Simplify right side
    730.97x = 402,890.76
  5. Step 5: Solve for x
    x = 402,890.76/730.97
  6. Step 6: Final answer
    x = 551.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.