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Finding the Fourth Proportional to 591.01, 889.82 and 429.82

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Solution

The fourth proportional to 591.01, 889.82 and 429.82 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.01 : 889.82 = 429.82 : x
  2. Step 2: Convert to fraction form
    591.01/889.82 = 429.82/x
  3. Step 3: Cross multiply
    591.01x = 889.82 × 429.82
  4. Step 4: Simplify right side
    591.01x = 382,462.43
  5. Step 5: Solve for x
    x = 382,462.43/591.01
  6. Step 6: Final answer
    x = 647.13

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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.