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Finding the Fourth Proportional to 590.51, 889.22 and 437.52

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Solution

The fourth proportional to 590.51, 889.22 and 437.52 is: 658.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.51 : 889.22 = 437.52 : x
  2. Step 2: Convert to fraction form
    590.51/889.22 = 437.52/x
  3. Step 3: Cross multiply
    590.51x = 889.22 × 437.52
  4. Step 4: Simplify right side
    590.51x = 389,049.35
  5. Step 5: Solve for x
    x = 389,049.35/590.51
  6. Step 6: Final answer
    x = 658.84

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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.