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Finding the Fourth Proportional to 730.68, 1,008.35 and 399.10

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Solution

The fourth proportional to 730.68, 1,008.35 and 399.10 is: 550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.68 : 1,008.35 = 399.10 : x
  2. Step 2: Convert to fraction form
    730.68/1,008.35 = 399.10/x
  3. Step 3: Cross multiply
    730.68x = 1,008.35 × 399.10
  4. Step 4: Simplify right side
    730.68x = 402,425.45
  5. Step 5: Solve for x
    x = 402,425.45/730.68
  6. Step 6: Final answer
    x = 550.75

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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.