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Finding the Fourth Proportional to 678.72, 1,012.38 and 633.36

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Solution

The fourth proportional to 678.72, 1,012.38 and 633.36 is: 944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.72 : 1,012.38 = 633.36 : x
  2. Step 2: Convert to fraction form
    678.72/1,012.38 = 633.36/x
  3. Step 3: Cross multiply
    678.72x = 1,012.38 × 633.36
  4. Step 4: Simplify right side
    678.72x = 641,201.00
  5. Step 5: Solve for x
    x = 641,201.00/678.72
  6. Step 6: Final answer
    x = 944.72

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1.5x scale

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.