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Finding the Fourth Proportional to 590.47, 813.67 and 421.95

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Solution

The fourth proportional to 590.47, 813.67 and 421.95 is: 581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.47 : 813.67 = 421.95 : x
  2. Step 2: Convert to fraction form
    590.47/813.67 = 421.95/x
  3. Step 3: Cross multiply
    590.47x = 813.67 × 421.95
  4. Step 4: Simplify right side
    590.47x = 343,325.52
  5. Step 5: Solve for x
    x = 343,325.52/590.47
  6. Step 6: Final answer
    x = 581.44

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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.