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Finding the Fourth Proportional to 730.81, 1,009.13 and 678.05

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Solution

The fourth proportional to 730.81, 1,009.13 and 678.05 is: 936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.81 : 1,009.13 = 678.05 : x
  2. Step 2: Convert to fraction form
    730.81/1,009.13 = 678.05/x
  3. Step 3: Cross multiply
    730.81x = 1,009.13 × 678.05
  4. Step 4: Simplify right side
    730.81x = 684,232.16
  5. Step 5: Solve for x
    x = 684,232.16/730.81
  6. Step 6: Final answer
    x = 936.27

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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.