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Finding the Fourth Proportional to 662.13, 991.98 and 590.63

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Solution

The fourth proportional to 662.13, 991.98 and 590.63 is: 884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.13 : 991.98 = 590.63 : x
  2. Step 2: Convert to fraction form
    662.13/991.98 = 590.63/x
  3. Step 3: Cross multiply
    662.13x = 991.98 × 590.63
  4. Step 4: Simplify right side
    662.13x = 585,888.19
  5. Step 5: Solve for x
    x = 585,888.19/662.13
  6. Step 6: Final answer
    x = 884.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.