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Finding the Fourth Proportional to 533.12, 734.72 and 434.56

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Solution

The fourth proportional to 533.12, 734.72 and 434.56 is: 598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 734.72 = 434.56 : x
  2. Step 2: Convert to fraction form
    533.12/734.72 = 434.56/x
  3. Step 3: Cross multiply
    533.12x = 734.72 × 434.56
  4. Step 4: Simplify right side
    533.12x = 319,279.92
  5. Step 5: Solve for x
    x = 319,279.92/533.12
  6. Step 6: Final answer
    x = 598.89

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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.