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Finding the Fourth Proportional to 693.77, 1,039.14 and 538.49

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Solution

The fourth proportional to 693.77, 1,039.14 and 538.49 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.77 : 1,039.14 = 538.49 : x
  2. Step 2: Convert to fraction form
    693.77/1,039.14 = 538.49/x
  3. Step 3: Cross multiply
    693.77x = 1,039.14 × 538.49
  4. Step 4: Simplify right side
    693.77x = 559,566.50
  5. Step 5: Solve for x
    x = 559,566.50/693.77
  6. Step 6: Final answer
    x = 806.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.