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Finding the Fourth Proportional to 652.25, 898.49 and 504.63

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Solution

The fourth proportional to 652.25, 898.49 and 504.63 is: 695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 898.49 = 504.63 : x
  2. Step 2: Convert to fraction form
    652.25/898.49 = 504.63/x
  3. Step 3: Cross multiply
    652.25x = 898.49 × 504.63
  4. Step 4: Simplify right side
    652.25x = 453,406.27
  5. Step 5: Solve for x
    x = 453,406.27/652.25
  6. Step 6: Final answer
    x = 695.14

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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.