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Finding the Fourth Proportional to 590.91, 889.80 and 437.92

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Solution

The fourth proportional to 590.91, 889.80 and 437.92 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.91 : 889.80 = 437.92 : x
  2. Step 2: Convert to fraction form
    590.91/889.80 = 437.92/x
  3. Step 3: Cross multiply
    590.91x = 889.80 × 437.92
  4. Step 4: Simplify right side
    590.91x = 389,661.22
  5. Step 5: Solve for x
    x = 389,661.22/590.91
  6. Step 6: Final answer
    x = 659.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.