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Finding the Fourth Proportional to 529.20, 734.40 and 507.60

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Solution

The fourth proportional to 529.20, 734.40 and 507.60 is: 704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.20 : 734.40 = 507.60 : x
  2. Step 2: Convert to fraction form
    529.20/734.40 = 507.60/x
  3. Step 3: Cross multiply
    529.20x = 734.40 × 507.60
  4. Step 4: Simplify right side
    529.20x = 372,781.44
  5. Step 5: Solve for x
    x = 372,781.44/529.20
  6. Step 6: Final answer
    x = 704.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.