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Finding the Fourth Proportional to 957.32, 1,319.96 and 816.99

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Solution

The fourth proportional to 957.32, 1,319.96 and 816.99 is: 1,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.32 : 1,319.96 = 816.99 : x
  2. Step 2: Convert to fraction form
    957.32/1,319.96 = 816.99/x
  3. Step 3: Cross multiply
    957.32x = 1,319.96 × 816.99
  4. Step 4: Simplify right side
    957.32x = 1,078,391.21
  5. Step 5: Solve for x
    x = 1,078,391.21/957.32
  6. Step 6: Final answer
    x = 1,126.47

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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.