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Finding the Fourth Proportional to 899.82, 1,347.99 and 590.74

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Solution

The fourth proportional to 899.82, 1,347.99 and 590.74 is: 884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.82 : 1,347.99 = 590.74 : x
  2. Step 2: Convert to fraction form
    899.82/1,347.99 = 590.74/x
  3. Step 3: Cross multiply
    899.82x = 1,347.99 × 590.74
  4. Step 4: Simplify right side
    899.82x = 796,304.66
  5. Step 5: Solve for x
    x = 796,304.66/899.82
  6. Step 6: Final answer
    x = 884.96

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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.