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Finding the Fourth Proportional to 962.36, 1,328.05 and 520.25

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Solution

The fourth proportional to 962.36, 1,328.05 and 520.25 is: 717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.36 : 1,328.05 = 520.25 : x
  2. Step 2: Convert to fraction form
    962.36/1,328.05 = 520.25/x
  3. Step 3: Cross multiply
    962.36x = 1,328.05 × 520.25
  4. Step 4: Simplify right side
    962.36x = 690,912.83
  5. Step 5: Solve for x
    x = 690,912.83/962.36
  6. Step 6: Final answer
    x = 717.94

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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.