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Finding the Fourth Proportional to 706.79, 1,058.79 and 521.34

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Solution

The fourth proportional to 706.79, 1,058.79 and 521.34 is: 780.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.79 : 1,058.79 = 521.34 : x
  2. Step 2: Convert to fraction form
    706.79/1,058.79 = 521.34/x
  3. Step 3: Cross multiply
    706.79x = 1,058.79 × 521.34
  4. Step 4: Simplify right side
    706.79x = 551,989.58
  5. Step 5: Solve for x
    x = 551,989.58/706.79
  6. Step 6: Final answer
    x = 780.99

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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.