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Finding the Fourth Proportional to 678.51, 1,022.90 and 631.53

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Solution

The fourth proportional to 678.51, 1,022.90 and 631.53 is: 952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.51 : 1,022.90 = 631.53 : x
  2. Step 2: Convert to fraction form
    678.51/1,022.90 = 631.53/x
  3. Step 3: Cross multiply
    678.51x = 1,022.90 × 631.53
  4. Step 4: Simplify right side
    678.51x = 645,988.88
  5. Step 5: Solve for x
    x = 645,988.88/678.51
  6. Step 6: Final answer
    x = 952.07

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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.