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Finding the Fourth Proportional to 680.47, 1,021.75 and 652.39

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Solution

The fourth proportional to 680.47, 1,021.75 and 652.39 is: 979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.47 : 1,021.75 = 652.39 : x
  2. Step 2: Convert to fraction form
    680.47/1,021.75 = 652.39/x
  3. Step 3: Cross multiply
    680.47x = 1,021.75 × 652.39
  4. Step 4: Simplify right side
    680.47x = 666,575.30
  5. Step 5: Solve for x
    x = 666,575.30/680.47
  6. Step 6: Final answer
    x = 979.58

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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.