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Finding the Fourth Proportional to 718.64, 1,072.06 and 611.12

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Solution

The fourth proportional to 718.64, 1,072.06 and 611.12 is: 911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.64 : 1,072.06 = 611.12 : x
  2. Step 2: Convert to fraction form
    718.64/1,072.06 = 611.12/x
  3. Step 3: Cross multiply
    718.64x = 1,072.06 × 611.12
  4. Step 4: Simplify right side
    718.64x = 655,157.31
  5. Step 5: Solve for x
    x = 655,157.31/718.64
  6. Step 6: Final answer
    x = 911.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.