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Finding the Fourth Proportional to 647.36, 971.20 and 533.12

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Solution

The fourth proportional to 647.36, 971.20 and 533.12 is: 799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.36 : 971.20 = 533.12 : x
  2. Step 2: Convert to fraction form
    647.36/971.20 = 533.12/x
  3. Step 3: Cross multiply
    647.36x = 971.20 × 533.12
  4. Step 4: Simplify right side
    647.36x = 517,766.14
  5. Step 5: Solve for x
    x = 517,766.14/647.36
  6. Step 6: Final answer
    x = 799.81

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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.