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Finding the Fourth Proportional to 708.33, 1,058.14 and 511.65

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Solution

The fourth proportional to 708.33, 1,058.14 and 511.65 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.33 : 1,058.14 = 511.65 : x
  2. Step 2: Convert to fraction form
    708.33/1,058.14 = 511.65/x
  3. Step 3: Cross multiply
    708.33x = 1,058.14 × 511.65
  4. Step 4: Simplify right side
    708.33x = 541,401.94
  5. Step 5: Solve for x
    x = 541,401.94/708.33
  6. Step 6: Final answer
    x = 764.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.