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Finding the Fourth Proportional to 957.84, 1,322.25 and 643

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Solution

The fourth proportional to 957.84, 1,322.25 and 643 is: 887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.84 : 1,322.25 = 643 : x
  2. Step 2: Convert to fraction form
    957.84/1,322.25 = 643/x
  3. Step 3: Cross multiply
    957.84x = 1,322.25 × 643
  4. Step 4: Simplify right side
    957.84x = 850,206.75
  5. Step 5: Solve for x
    x = 850,206.75/957.84
  6. Step 6: Final answer
    x = 887.63

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1.5x scale

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.