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Finding the Fourth Proportional to 730.24, 1,000.64 and 703.36

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Solution

The fourth proportional to 730.24, 1,000.64 and 703.36 is: 963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.24 : 1,000.64 = 703.36 : x
  2. Step 2: Convert to fraction form
    730.24/1,000.64 = 703.36/x
  3. Step 3: Cross multiply
    730.24x = 1,000.64 × 703.36
  4. Step 4: Simplify right side
    730.24x = 703,810.15
  5. Step 5: Solve for x
    x = 703,810.15/730.24
  6. Step 6: Final answer
    x = 963.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.