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Finding the Fourth Proportional to 590.26, 888.69 and 429.07

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Solution

The fourth proportional to 590.26, 888.69 and 429.07 is: 646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.26 : 888.69 = 429.07 : x
  2. Step 2: Convert to fraction form
    590.26/888.69 = 429.07/x
  3. Step 3: Cross multiply
    590.26x = 888.69 × 429.07
  4. Step 4: Simplify right side
    590.26x = 381,310.22
  5. Step 5: Solve for x
    x = 381,310.22/590.26
  6. Step 6: Final answer
    x = 646.00

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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.