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Finding the Fourth Proportional to 706.22, 1,058.56 and 432.49

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Solution

The fourth proportional to 706.22, 1,058.56 and 432.49 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.22 : 1,058.56 = 432.49 : x
  2. Step 2: Convert to fraction form
    706.22/1,058.56 = 432.49/x
  3. Step 3: Cross multiply
    706.22x = 1,058.56 × 432.49
  4. Step 4: Simplify right side
    706.22x = 457,811.32
  5. Step 5: Solve for x
    x = 457,811.32/706.22
  6. Step 6: Final answer
    x = 648.26

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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.