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Finding the Fourth Proportional to 590.36, 814.08 and 425.36

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Solution

The fourth proportional to 590.36, 814.08 and 425.36 is: 586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.36 : 814.08 = 425.36 : x
  2. Step 2: Convert to fraction form
    590.36/814.08 = 425.36/x
  3. Step 3: Cross multiply
    590.36x = 814.08 × 425.36
  4. Step 4: Simplify right side
    590.36x = 346,277.07
  5. Step 5: Solve for x
    x = 346,277.07/590.36
  6. Step 6: Final answer
    x = 586.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.