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Finding the Fourth Proportional to 945.62, 1,416.90 and 533.53

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Solution

The fourth proportional to 945.62, 1,416.90 and 533.53 is: 799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.62 : 1,416.90 = 533.53 : x
  2. Step 2: Convert to fraction form
    945.62/1,416.90 = 533.53/x
  3. Step 3: Cross multiply
    945.62x = 1,416.90 × 533.53
  4. Step 4: Simplify right side
    945.62x = 755,955.11
  5. Step 5: Solve for x
    x = 755,955.11/945.62
  6. Step 6: Final answer
    x = 799.43

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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.