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Finding the Fourth Proportional to 730.23, 1,010.30 and 703.23

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Solution

The fourth proportional to 730.23, 1,010.30 and 703.23 is: 972.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,010.30 = 703.23 : x
  2. Step 2: Convert to fraction form
    730.23/1,010.30 = 703.23/x
  3. Step 3: Cross multiply
    730.23x = 1,010.30 × 703.23
  4. Step 4: Simplify right side
    730.23x = 710,469.75
  5. Step 5: Solve for x
    x = 710,469.75/730.23
  6. Step 6: Final answer
    x = 972.94

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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.