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Finding the Fourth Proportional to 711.14, 980.45 and 521.49

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Solution

The fourth proportional to 711.14, 980.45 and 521.49 is: 718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.14 : 980.45 = 521.49 : x
  2. Step 2: Convert to fraction form
    711.14/980.45 = 521.49/x
  3. Step 3: Cross multiply
    711.14x = 980.45 × 521.49
  4. Step 4: Simplify right side
    711.14x = 511,294.87
  5. Step 5: Solve for x
    x = 511,294.87/711.14
  6. Step 6: Final answer
    x = 718.98

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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.