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Finding the Fourth Proportional to 735.70, 1,013.49 and 514.30

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Solution

The fourth proportional to 735.70, 1,013.49 and 514.30 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.70 : 1,013.49 = 514.30 : x
  2. Step 2: Convert to fraction form
    735.70/1,013.49 = 514.30/x
  3. Step 3: Cross multiply
    735.70x = 1,013.49 × 514.30
  4. Step 4: Simplify right side
    735.70x = 521,237.91
  5. Step 5: Solve for x
    x = 521,237.91/735.70
  6. Step 6: Final answer
    x = 708.49

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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.