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Finding the Fourth Proportional to 944.31, 1,303.52 and 919.47

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Solution

The fourth proportional to 944.31, 1,303.52 and 919.47 is: 1,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.31 : 1,303.52 = 919.47 : x
  2. Step 2: Convert to fraction form
    944.31/1,303.52 = 919.47/x
  3. Step 3: Cross multiply
    944.31x = 1,303.52 × 919.47
  4. Step 4: Simplify right side
    944.31x = 1,198,547.53
  5. Step 5: Solve for x
    x = 1,198,547.53/944.31
  6. Step 6: Final answer
    x = 1,269.23

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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.