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Finding the Fourth Proportional to 590.09, 814.67 and 412.98

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Solution

The fourth proportional to 590.09, 814.67 and 412.98 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.09 : 814.67 = 412.98 : x
  2. Step 2: Convert to fraction form
    590.09/814.67 = 412.98/x
  3. Step 3: Cross multiply
    590.09x = 814.67 × 412.98
  4. Step 4: Simplify right side
    590.09x = 336,445.75
  5. Step 5: Solve for x
    x = 336,445.75/590.09
  6. Step 6: Final answer
    x = 570.16

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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.