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Finding the Fourth Proportional to 553.90, 764.40 and 317.77

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Solution

The fourth proportional to 553.90, 764.40 and 317.77 is: 438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.90 : 764.40 = 317.77 : x
  2. Step 2: Convert to fraction form
    553.90/764.40 = 317.77/x
  3. Step 3: Cross multiply
    553.90x = 764.40 × 317.77
  4. Step 4: Simplify right side
    553.90x = 242,903.39
  5. Step 5: Solve for x
    x = 242,903.39/553.90
  6. Step 6: Final answer
    x = 438.53

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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.