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Finding the Fourth Proportional to 590.10, 813.24 and 465.63

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Solution

The fourth proportional to 590.10, 813.24 and 465.63 is: 641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.10 : 813.24 = 465.63 : x
  2. Step 2: Convert to fraction form
    590.10/813.24 = 465.63/x
  3. Step 3: Cross multiply
    590.10x = 813.24 × 465.63
  4. Step 4: Simplify right side
    590.10x = 378,668.94
  5. Step 5: Solve for x
    x = 378,668.94/590.10
  6. Step 6: Final answer
    x = 641.70

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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.