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Finding the Fourth Proportional to 706.78, 1,059.76 and 322.03

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Solution

The fourth proportional to 706.78, 1,059.76 and 322.03 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.78 : 1,059.76 = 322.03 : x
  2. Step 2: Convert to fraction form
    706.78/1,059.76 = 322.03/x
  3. Step 3: Cross multiply
    706.78x = 1,059.76 × 322.03
  4. Step 4: Simplify right side
    706.78x = 341,274.51
  5. Step 5: Solve for x
    x = 341,274.51/706.78
  6. Step 6: Final answer
    x = 482.86

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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.