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Finding the Fourth Proportional to 706.53, 1,058.24 and 551.24

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Solution

The fourth proportional to 706.53, 1,058.24 and 551.24 is: 825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.53 : 1,058.24 = 551.24 : x
  2. Step 2: Convert to fraction form
    706.53/1,058.24 = 551.24/x
  3. Step 3: Cross multiply
    706.53x = 1,058.24 × 551.24
  4. Step 4: Simplify right side
    706.53x = 583,336.17
  5. Step 5: Solve for x
    x = 583,336.17/706.53
  6. Step 6: Final answer
    x = 825.64

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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.