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Finding the Fourth Proportional to 730.40, 1,009.16 and 723.09

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Solution

The fourth proportional to 730.40, 1,009.16 and 723.09 is: 999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,009.16 = 723.09 : x
  2. Step 2: Convert to fraction form
    730.40/1,009.16 = 723.09/x
  3. Step 3: Cross multiply
    730.40x = 1,009.16 × 723.09
  4. Step 4: Simplify right side
    730.40x = 729,716.38
  5. Step 5: Solve for x
    x = 729,716.38/730.40
  6. Step 6: Final answer
    x = 999.07

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1.5x scale

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.