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Finding the Fourth Proportional to 678.64, 1,012.38 and 605.76

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Solution

The fourth proportional to 678.64, 1,012.38 and 605.76 is: 903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.64 : 1,012.38 = 605.76 : x
  2. Step 2: Convert to fraction form
    678.64/1,012.38 = 605.76/x
  3. Step 3: Cross multiply
    678.64x = 1,012.38 × 605.76
  4. Step 4: Simplify right side
    678.64x = 613,259.31
  5. Step 5: Solve for x
    x = 613,259.31/678.64
  6. Step 6: Final answer
    x = 903.66

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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.