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Finding the Fourth Proportional to 944.49, 1,303.86 and 630.30

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Solution

The fourth proportional to 944.49, 1,303.86 and 630.30 is: 870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.49 : 1,303.86 = 630.30 : x
  2. Step 2: Convert to fraction form
    944.49/1,303.86 = 630.30/x
  3. Step 3: Cross multiply
    944.49x = 1,303.86 × 630.30
  4. Step 4: Simplify right side
    944.49x = 821,822.96
  5. Step 5: Solve for x
    x = 821,822.96/944.49
  6. Step 6: Final answer
    x = 870.12

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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.