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Finding the Fourth Proportional to 633.36, 946.13 and 458.64

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Solution

The fourth proportional to 633.36, 946.13 and 458.64 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.36 : 946.13 = 458.64 : x
  2. Step 2: Convert to fraction form
    633.36/946.13 = 458.64/x
  3. Step 3: Cross multiply
    633.36x = 946.13 × 458.64
  4. Step 4: Simplify right side
    633.36x = 433,933.06
  5. Step 5: Solve for x
    x = 433,933.06/633.36
  6. Step 6: Final answer
    x = 685.13

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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.