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Finding the Fourth Proportional to 590.58, 815.27 and 425.61

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Solution

The fourth proportional to 590.58, 815.27 and 425.61 is: 587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.58 : 815.27 = 425.61 : x
  2. Step 2: Convert to fraction form
    590.58/815.27 = 425.61/x
  3. Step 3: Cross multiply
    590.58x = 815.27 × 425.61
  4. Step 4: Simplify right side
    590.58x = 346,984.94
  5. Step 5: Solve for x
    x = 346,984.94/590.58
  6. Step 6: Final answer
    x = 587.53

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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.