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Finding the Fourth Proportional to 678.53, 1,012.07 and 658.02

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Solution

The fourth proportional to 678.53, 1,012.07 and 658.02 is: 981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.53 : 1,012.07 = 658.02 : x
  2. Step 2: Convert to fraction form
    678.53/1,012.07 = 658.02/x
  3. Step 3: Cross multiply
    678.53x = 1,012.07 × 658.02
  4. Step 4: Simplify right side
    678.53x = 665,964.04
  5. Step 5: Solve for x
    x = 665,964.04/678.53
  6. Step 6: Final answer
    x = 981.48

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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.