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Finding the Fourth Proportional to 620.17, 854.77 and 590.98

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Solution

The fourth proportional to 620.17, 854.77 and 590.98 is: 814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.17 : 854.77 = 590.98 : x
  2. Step 2: Convert to fraction form
    620.17/854.77 = 590.98/x
  3. Step 3: Cross multiply
    620.17x = 854.77 × 590.98
  4. Step 4: Simplify right side
    620.17x = 505,147.70
  5. Step 5: Solve for x
    x = 505,147.70/620.17
  6. Step 6: Final answer
    x = 814.53

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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.