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Finding the Fourth Proportional to 533.15, 734.90 and 420.93

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Solution

The fourth proportional to 533.15, 734.90 and 420.93 is: 580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.15 : 734.90 = 420.93 : x
  2. Step 2: Convert to fraction form
    533.15/734.90 = 420.93/x
  3. Step 3: Cross multiply
    533.15x = 734.90 × 420.93
  4. Step 4: Simplify right side
    533.15x = 309,339.35
  5. Step 5: Solve for x
    x = 309,339.35/533.15
  6. Step 6: Final answer
    x = 580.22

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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.