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Finding the Fourth Proportional to 652.61, 898.85 and 486.56

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Solution

The fourth proportional to 652.61, 898.85 and 486.56 is: 670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.61 : 898.85 = 486.56 : x
  2. Step 2: Convert to fraction form
    652.61/898.85 = 486.56/x
  3. Step 3: Cross multiply
    652.61x = 898.85 × 486.56
  4. Step 4: Simplify right side
    652.61x = 437,340.13
  5. Step 5: Solve for x
    x = 437,340.13/652.61
  6. Step 6: Final answer
    x = 670.14

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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.