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Finding the Fourth Proportional to 709.78, 1,059.72 and 666.04

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Solution

The fourth proportional to 709.78, 1,059.72 and 666.04 is: 994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,059.72 = 666.04 : x
  2. Step 2: Convert to fraction form
    709.78/1,059.72 = 666.04/x
  3. Step 3: Cross multiply
    709.78x = 1,059.72 × 666.04
  4. Step 4: Simplify right side
    709.78x = 705,815.91
  5. Step 5: Solve for x
    x = 705,815.91/709.78
  6. Step 6: Final answer
    x = 994.42

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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.