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Finding the Fourth Proportional to 633.77, 946.22 and 547.01

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Solution

The fourth proportional to 633.77, 946.22 and 547.01 is: 816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.77 : 946.22 = 547.01 : x
  2. Step 2: Convert to fraction form
    633.77/946.22 = 547.01/x
  3. Step 3: Cross multiply
    633.77x = 946.22 × 547.01
  4. Step 4: Simplify right side
    633.77x = 517,584.34
  5. Step 5: Solve for x
    x = 517,584.34/633.77
  6. Step 6: Final answer
    x = 816.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.