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Finding the Fourth Proportional to 529.56, 793.02 and 442.32

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Solution

The fourth proportional to 529.56, 793.02 and 442.32 is: 662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.56 : 793.02 = 442.32 : x
  2. Step 2: Convert to fraction form
    529.56/793.02 = 442.32/x
  3. Step 3: Cross multiply
    529.56x = 793.02 × 442.32
  4. Step 4: Simplify right side
    529.56x = 350,768.61
  5. Step 5: Solve for x
    x = 350,768.61/529.56
  6. Step 6: Final answer
    x = 662.38

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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.