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Finding the Fourth Proportional to 899.31, 1,347.08 and 487.29

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Solution

The fourth proportional to 899.31, 1,347.08 and 487.29 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.31 : 1,347.08 = 487.29 : x
  2. Step 2: Convert to fraction form
    899.31/1,347.08 = 487.29/x
  3. Step 3: Cross multiply
    899.31x = 1,347.08 × 487.29
  4. Step 4: Simplify right side
    899.31x = 656,416.18
  5. Step 5: Solve for x
    x = 656,416.18/899.31
  6. Step 6: Final answer
    x = 729.91

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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.