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Finding the Fourth Proportional to 957.05, 1,320.18 and 661.80

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Solution

The fourth proportional to 957.05, 1,320.18 and 661.80 is: 912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.05 : 1,320.18 = 661.80 : x
  2. Step 2: Convert to fraction form
    957.05/1,320.18 = 661.80/x
  3. Step 3: Cross multiply
    957.05x = 1,320.18 × 661.80
  4. Step 4: Simplify right side
    957.05x = 873,701.32
  5. Step 5: Solve for x
    x = 873,701.32/957.05
  6. Step 6: Final answer
    x = 912.91

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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.