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Finding the Fourth Proportional to 957.15, 1,319.38 and 800.31

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Solution

The fourth proportional to 957.15, 1,319.38 and 800.31 is: 1,103.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.15 : 1,319.38 = 800.31 : x
  2. Step 2: Convert to fraction form
    957.15/1,319.38 = 800.31/x
  3. Step 3: Cross multiply
    957.15x = 1,319.38 × 800.31
  4. Step 4: Simplify right side
    957.15x = 1,055,903.70
  5. Step 5: Solve for x
    x = 1,055,903.70/957.15
  6. Step 6: Final answer
    x = 1,103.17

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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.