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Finding the Fourth Proportional to 652.12, 898.42 and 486

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Solution

The fourth proportional to 652.12, 898.42 and 486 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 898.42 = 486 : x
  2. Step 2: Convert to fraction form
    652.12/898.42 = 486/x
  3. Step 3: Cross multiply
    652.12x = 898.42 × 486
  4. Step 4: Simplify right side
    652.12x = 436,632.12
  5. Step 5: Solve for x
    x = 436,632.12/652.12
  6. Step 6: Final answer
    x = 669.56

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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.