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Finding the Fourth Proportional to 707.25, 1,058.37 and 521.71

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Solution

The fourth proportional to 707.25, 1,058.37 and 521.71 is: 780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.25 : 1,058.37 = 521.71 : x
  2. Step 2: Convert to fraction form
    707.25/1,058.37 = 521.71/x
  3. Step 3: Cross multiply
    707.25x = 1,058.37 × 521.71
  4. Step 4: Simplify right side
    707.25x = 552,163.56
  5. Step 5: Solve for x
    x = 552,163.56/707.25
  6. Step 6: Final answer
    x = 780.72

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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.