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Finding the Fourth Proportional to 736.01, 1,013.98 and 514.61

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Solution

The fourth proportional to 736.01, 1,013.98 and 514.61 is: 708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.01 : 1,013.98 = 514.61 : x
  2. Step 2: Convert to fraction form
    736.01/1,013.98 = 514.61/x
  3. Step 3: Cross multiply
    736.01x = 1,013.98 × 514.61
  4. Step 4: Simplify right side
    736.01x = 521,804.25
  5. Step 5: Solve for x
    x = 521,804.25/736.01
  6. Step 6: Final answer
    x = 708.96

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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.