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Finding the Fourth Proportional to 529.28, 793.60 and 438.24

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Solution

The fourth proportional to 529.28, 793.60 and 438.24 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.28 : 793.60 = 438.24 : x
  2. Step 2: Convert to fraction form
    529.28/793.60 = 438.24/x
  3. Step 3: Cross multiply
    529.28x = 793.60 × 438.24
  4. Step 4: Simplify right side
    529.28x = 347,787.26
  5. Step 5: Solve for x
    x = 347,787.26/529.28
  6. Step 6: Final answer
    x = 657.10

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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.