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Finding the Fourth Proportional to 645.36, 967.35 and 553.78

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Solution

The fourth proportional to 645.36, 967.35 and 553.78 is: 830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.36 : 967.35 = 553.78 : x
  2. Step 2: Convert to fraction form
    645.36/967.35 = 553.78/x
  3. Step 3: Cross multiply
    645.36x = 967.35 × 553.78
  4. Step 4: Simplify right side
    645.36x = 535,696.66
  5. Step 5: Solve for x
    x = 535,696.66/645.36
  6. Step 6: Final answer
    x = 830.07

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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.