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Finding the Fourth Proportional to 553.64, 764.30 and 429.02

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Solution

The fourth proportional to 553.64, 764.30 and 429.02 is: 592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.64 : 764.30 = 429.02 : x
  2. Step 2: Convert to fraction form
    553.64/764.30 = 429.02/x
  3. Step 3: Cross multiply
    553.64x = 764.30 × 429.02
  4. Step 4: Simplify right side
    553.64x = 327,898.49
  5. Step 5: Solve for x
    x = 327,898.49/553.64
  6. Step 6: Final answer
    x = 592.26

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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.