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Finding the Fourth Proportional to 730.60, 1,008.26 and 399.06

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Solution

The fourth proportional to 730.60, 1,008.26 and 399.06 is: 550.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.60 : 1,008.26 = 399.06 : x
  2. Step 2: Convert to fraction form
    730.60/1,008.26 = 399.06/x
  3. Step 3: Cross multiply
    730.60x = 1,008.26 × 399.06
  4. Step 4: Simplify right side
    730.60x = 402,356.24
  5. Step 5: Solve for x
    x = 402,356.24/730.60
  6. Step 6: Final answer
    x = 550.72

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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.