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Finding the Fourth Proportional to 677.70, 1,021.62 and 633.15

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Solution

The fourth proportional to 677.70, 1,021.62 and 633.15 is: 954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.70 : 1,021.62 = 633.15 : x
  2. Step 2: Convert to fraction form
    677.70/1,021.62 = 633.15/x
  3. Step 3: Cross multiply
    677.70x = 1,021.62 × 633.15
  4. Step 4: Simplify right side
    677.70x = 646,838.70
  5. Step 5: Solve for x
    x = 646,838.70/677.70
  6. Step 6: Final answer
    x = 954.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.