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Finding the Fourth Proportional to 553.40, 763.79 and 460.02

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Solution

The fourth proportional to 553.40, 763.79 and 460.02 is: 634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.40 : 763.79 = 460.02 : x
  2. Step 2: Convert to fraction form
    553.40/763.79 = 460.02/x
  3. Step 3: Cross multiply
    553.40x = 763.79 × 460.02
  4. Step 4: Simplify right side
    553.40x = 351,356.38
  5. Step 5: Solve for x
    x = 351,356.38/553.40
  6. Step 6: Final answer
    x = 634.91

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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.