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Finding the Fourth Proportional to 590.30, 813.92 and 403.89

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Solution

The fourth proportional to 590.30, 813.92 and 403.89 is: 556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.30 : 813.92 = 403.89 : x
  2. Step 2: Convert to fraction form
    590.30/813.92 = 403.89/x
  3. Step 3: Cross multiply
    590.30x = 813.92 × 403.89
  4. Step 4: Simplify right side
    590.30x = 328,732.13
  5. Step 5: Solve for x
    x = 328,732.13/590.30
  6. Step 6: Final answer
    x = 556.89

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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.