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Finding the Fourth Proportional to 708.88, 977.98 and 522.81

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Solution

The fourth proportional to 708.88, 977.98 and 522.81 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.88 : 977.98 = 522.81 : x
  2. Step 2: Convert to fraction form
    708.88/977.98 = 522.81/x
  3. Step 3: Cross multiply
    708.88x = 977.98 × 522.81
  4. Step 4: Simplify right side
    708.88x = 511,297.72
  5. Step 5: Solve for x
    x = 511,297.72/708.88
  6. Step 6: Final answer
    x = 721.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.