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Finding the Fourth Proportional to 590.92, 814.78 and 485.64

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Solution

The fourth proportional to 590.92, 814.78 and 485.64 is: 669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 814.78 = 485.64 : x
  2. Step 2: Convert to fraction form
    590.92/814.78 = 485.64/x
  3. Step 3: Cross multiply
    590.92x = 814.78 × 485.64
  4. Step 4: Simplify right side
    590.92x = 395,689.76
  5. Step 5: Solve for x
    x = 395,689.76/590.92
  6. Step 6: Final answer
    x = 669.62

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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.