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Finding the Fourth Proportional to 706.47, 1,058.27 and 363.75

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Solution

The fourth proportional to 706.47, 1,058.27 and 363.75 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.47 : 1,058.27 = 363.75 : x
  2. Step 2: Convert to fraction form
    706.47/1,058.27 = 363.75/x
  3. Step 3: Cross multiply
    706.47x = 1,058.27 × 363.75
  4. Step 4: Simplify right side
    706.47x = 384,943.89
  5. Step 5: Solve for x
    x = 384,943.89/706.47
  6. Step 6: Final answer
    x = 544.88

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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.