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Finding the Fourth Proportional to 957.01, 1,317.74 and 838.30

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Solution

The fourth proportional to 957.01, 1,317.74 and 838.30 is: 1,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.01 : 1,317.74 = 838.30 : x
  2. Step 2: Convert to fraction form
    957.01/1,317.74 = 838.30/x
  3. Step 3: Cross multiply
    957.01x = 1,317.74 × 838.30
  4. Step 4: Simplify right side
    957.01x = 1,104,653.96
  5. Step 5: Solve for x
    x = 1,104,653.96/957.01
  6. Step 6: Final answer
    x = 1,154.28

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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.