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Finding the Fourth Proportional to 590.78, 804.56 and 587.13

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Solution

The fourth proportional to 590.78, 804.56 and 587.13 is: 799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 804.56 = 587.13 : x
  2. Step 2: Convert to fraction form
    590.78/804.56 = 587.13/x
  3. Step 3: Cross multiply
    590.78x = 804.56 × 587.13
  4. Step 4: Simplify right side
    590.78x = 472,378.38
  5. Step 5: Solve for x
    x = 472,378.38/590.78
  6. Step 6: Final answer
    x = 799.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.