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Finding the Fourth Proportional to 590.82, 883.90 and 521.57

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Solution

The fourth proportional to 590.82, 883.90 and 521.57 is: 780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.82 : 883.90 = 521.57 : x
  2. Step 2: Convert to fraction form
    590.82/883.90 = 521.57/x
  3. Step 3: Cross multiply
    590.82x = 883.90 × 521.57
  4. Step 4: Simplify right side
    590.82x = 461,015.72
  5. Step 5: Solve for x
    x = 461,015.72/590.82
  6. Step 6: Final answer
    x = 780.30

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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.