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Finding the Fourth Proportional to 488.52, 734.30 and 307.08

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Solution

The fourth proportional to 488.52, 734.30 and 307.08 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 734.30 = 307.08 : x
  2. Step 2: Convert to fraction form
    488.52/734.30 = 307.08/x
  3. Step 3: Cross multiply
    488.52x = 734.30 × 307.08
  4. Step 4: Simplify right side
    488.52x = 225,487.31
  5. Step 5: Solve for x
    x = 225,487.31/488.52
  6. Step 6: Final answer
    x = 461.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.