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Finding the Fourth Proportional to 952.84, 1,315.46 and 638.54

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Solution

The fourth proportional to 952.84, 1,315.46 and 638.54 is: 881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.84 : 1,315.46 = 638.54 : x
  2. Step 2: Convert to fraction form
    952.84/1,315.46 = 638.54/x
  3. Step 3: Cross multiply
    952.84x = 1,315.46 × 638.54
  4. Step 4: Simplify right side
    952.84x = 839,973.83
  5. Step 5: Solve for x
    x = 839,973.83/952.84
  6. Step 6: Final answer
    x = 881.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.