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Finding the Fourth Proportional to 664.40, 916.80 and 533.36

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Solution

The fourth proportional to 664.40, 916.80 and 533.36 is: 735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.80 = 533.36 : x
  2. Step 2: Convert to fraction form
    664.40/916.80 = 533.36/x
  3. Step 3: Cross multiply
    664.40x = 916.80 × 533.36
  4. Step 4: Simplify right side
    664.40x = 488,984.45
  5. Step 5: Solve for x
    x = 488,984.45/664.40
  6. Step 6: Final answer
    x = 735.98

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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.