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Finding the Fourth Proportional to 718.21, 1,076.69 and 609.23

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Solution

The fourth proportional to 718.21, 1,076.69 and 609.23 is: 913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.21 : 1,076.69 = 609.23 : x
  2. Step 2: Convert to fraction form
    718.21/1,076.69 = 609.23/x
  3. Step 3: Cross multiply
    718.21x = 1,076.69 × 609.23
  4. Step 4: Simplify right side
    718.21x = 655,956.06
  5. Step 5: Solve for x
    x = 655,956.06/718.21
  6. Step 6: Final answer
    x = 913.32

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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.