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Finding the Fourth Proportional to 957.36, 1,321.20 and 564.42

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Solution

The fourth proportional to 957.36, 1,321.20 and 564.42 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.36 : 1,321.20 = 564.42 : x
  2. Step 2: Convert to fraction form
    957.36/1,321.20 = 564.42/x
  3. Step 3: Cross multiply
    957.36x = 1,321.20 × 564.42
  4. Step 4: Simplify right side
    957.36x = 745,711.70
  5. Step 5: Solve for x
    x = 745,711.70/957.36
  6. Step 6: Final answer
    x = 778.93

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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.