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Finding the Fourth Proportional to 957.34, 1,321.23 and 564.36

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Solution

The fourth proportional to 957.34, 1,321.23 and 564.36 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.34 : 1,321.23 = 564.36 : x
  2. Step 2: Convert to fraction form
    957.34/1,321.23 = 564.36/x
  3. Step 3: Cross multiply
    957.34x = 1,321.23 × 564.36
  4. Step 4: Simplify right side
    957.34x = 745,649.36
  5. Step 5: Solve for x
    x = 745,649.36/957.34
  6. Step 6: Final answer
    x = 778.88

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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.