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Finding the Fourth Proportional to 590.88, 889.78 and 437.90

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Solution

The fourth proportional to 590.88, 889.78 and 437.90 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.88 : 889.78 = 437.90 : x
  2. Step 2: Convert to fraction form
    590.88/889.78 = 437.90/x
  3. Step 3: Cross multiply
    590.88x = 889.78 × 437.90
  4. Step 4: Simplify right side
    590.88x = 389,629.12
  5. Step 5: Solve for x
    x = 389,629.12/590.88
  6. Step 6: Final answer
    x = 659.40

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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.