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Finding the Fourth Proportional to 583.34, 801.41 and 521.99

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Solution

The fourth proportional to 583.34, 801.41 and 521.99 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.34 : 801.41 = 521.99 : x
  2. Step 2: Convert to fraction form
    583.34/801.41 = 521.99/x
  3. Step 3: Cross multiply
    583.34x = 801.41 × 521.99
  4. Step 4: Simplify right side
    583.34x = 418,325.30
  5. Step 5: Solve for x
    x = 418,325.30/583.34
  6. Step 6: Final answer
    x = 717.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.