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Finding the Fourth Proportional to 899.37, 1,347.28 and 590.27

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Solution

The fourth proportional to 899.37, 1,347.28 and 590.27 is: 884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.37 : 1,347.28 = 590.27 : x
  2. Step 2: Convert to fraction form
    899.37/1,347.28 = 590.27/x
  3. Step 3: Cross multiply
    899.37x = 1,347.28 × 590.27
  4. Step 4: Simplify right side
    899.37x = 795,250.75
  5. Step 5: Solve for x
    x = 795,250.75/899.37
  6. Step 6: Final answer
    x = 884.23

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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.