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Finding the Fourth Proportional to 590.31, 811.21 and 563.21

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Solution

The fourth proportional to 590.31, 811.21 and 563.21 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.31 : 811.21 = 563.21 : x
  2. Step 2: Convert to fraction form
    590.31/811.21 = 563.21/x
  3. Step 3: Cross multiply
    590.31x = 811.21 × 563.21
  4. Step 4: Simplify right side
    590.31x = 456,879.16
  5. Step 5: Solve for x
    x = 456,879.16/590.31
  6. Step 6: Final answer
    x = 773.96

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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.