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Finding the Fourth Proportional to 714.88, 984.15 and 641.06

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Solution

The fourth proportional to 714.88, 984.15 and 641.06 is: 882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 984.15 = 641.06 : x
  2. Step 2: Convert to fraction form
    714.88/984.15 = 641.06/x
  3. Step 3: Cross multiply
    714.88x = 984.15 × 641.06
  4. Step 4: Simplify right side
    714.88x = 630,903.50
  5. Step 5: Solve for x
    x = 630,903.50/714.88
  6. Step 6: Final answer
    x = 882.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.