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Finding the Fourth Proportional to 899.21, 1,347.40 and 678.79

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Solution

The fourth proportional to 899.21, 1,347.40 and 678.79 is: 1,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.21 : 1,347.40 = 678.79 : x
  2. Step 2: Convert to fraction form
    899.21/1,347.40 = 678.79/x
  3. Step 3: Cross multiply
    899.21x = 1,347.40 × 678.79
  4. Step 4: Simplify right side
    899.21x = 914,604.18
  5. Step 5: Solve for x
    x = 914,604.18/899.21
  6. Step 6: Final answer
    x = 1,017.12

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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.