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Finding the Fourth Proportional to 652.21, 974.04 and 522.41

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Solution

The fourth proportional to 652.21, 974.04 and 522.41 is: 780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.21 : 974.04 = 522.41 : x
  2. Step 2: Convert to fraction form
    652.21/974.04 = 522.41/x
  3. Step 3: Cross multiply
    652.21x = 974.04 × 522.41
  4. Step 4: Simplify right side
    652.21x = 508,843.37
  5. Step 5: Solve for x
    x = 508,843.37/652.21
  6. Step 6: Final answer
    x = 780.19

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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.