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Finding the Fourth Proportional to 590.29, 815.72 and 442.67

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Solution

The fourth proportional to 590.29, 815.72 and 442.67 is: 611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.29 : 815.72 = 442.67 : x
  2. Step 2: Convert to fraction form
    590.29/815.72 = 442.67/x
  3. Step 3: Cross multiply
    590.29x = 815.72 × 442.67
  4. Step 4: Simplify right side
    590.29x = 361,090.97
  5. Step 5: Solve for x
    x = 361,090.97/590.29
  6. Step 6: Final answer
    x = 611.72

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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.